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BEGIN:VEVENT
SUMMARY:Nicholas Wilkins (Bristol)
DTSTART:20200417T131500Z
DTEND:20200417T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/1
DESCRIPTION:Title: Equivariant quantum operations and relations between them\nby Nic
holas Wilkins (Bristol) as part of Symplectic zoominar\n\n\nAbstract\nTher
e is growing interest in looking at operations on quantum cohomology that
take into account symmetries in the holomorphic spheres (such as the quant
um Steenrod powers\, using a Z/p-symmetry). In order to prove relations be
tween them\, one needs to generalise this to include equivariant operation
s with more marked points\, varying domains and different symmetry groups.
We will look at the general method of construction of these operations\,
as well as two distinct examples of relations between them.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lisa Traynor (Bryn Mawr)
DTSTART:20200424T131500Z
DTEND:20200424T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/2
DESCRIPTION:Title: The geography of immersed Lagrangian fillings of Legendrian submanifo
lds\nby Lisa Traynor (Bryn Mawr) as part of Symplectic zoominar\n\n\nA
bstract\nGiven a smooth knot K in the 3-sphere\, a classic question in kno
t theory is: What surfaces in the 4-ball have boundary equal to K? One can
also consider immersed surfaces and ask a “geography” question: What
combinations of genus and double points can be realized by surfaces with b
oundary equal to K? I will discuss symplectic analogues of these question
s: Given a Legendrian knot\, what Lagrangian surfaces can it bound? What
immersed Lagrangian surfaces can it bound? These Lagrangian surfaces are
commonly called Lagrangian fillings of the Legendrian knot and are more ri
gid than their topological counterpart. In particular\, while any smooth
knot bounds an infinite number of topologically distinct surfaces\, there
are classical and non-classical obstructions to the existence of Lagrangia
n fillings of Legendrian knots. Specifically\, a polynomial associated to
the Legendrian boundary through the technique of generating families can
show that there is no compatible embedded Lagrangian filling. Immersed La
grangian fillings are more flexible\, and I will describe how this polynom
ial associated to the Legendrian boundary forbids particular combinations
of genus and double points in immersed Lagrangian fillings. In addition\,
I will describe some constructions of immersed fillings that allow us to
completely answer the Lagrangian geography question for some Legendrian kn
ots. This is joint work with Samantha Pezzimenti.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alberto Abbondandolo (Bochum)
DTSTART:20200501T131500Z
DTEND:20200501T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/3
DESCRIPTION:Title: Zoll contact forms are local maximisers of the systolic ratio\nby
Alberto Abbondandolo (Bochum) as part of Symplectic zoominar\n\n\nAbstrac
t\nA central question from systolic geometry is to find upper bounds for t
he systolic ratio of a Riemannian metric on a closed $n$-dimensional manif
old\, i.e. the ratio of the $n$-th power of the shortest length of closed
geodesics by the volume. This question can be naturally extended to Reeb f
lows\, a class of dynamical systems including geodesic flows and induced b
y a contact form on a closed manifold. The aim of this talk is to discuss
a recent result obtained in collaboration with Gabriele Benedetti: Zoll co
ntact forms\, i.e. forms such that all the orbits of the induced Reeb flow
are periodic with the same period\, are local maximisers of the systolic
ratio. Consequences of this result are: (i) sharp systolic inequalities fo
r Riemannian and Finsler metrics close to Zoll ones\, (ii) the perturbativ
e case of a conjecture of Viterbo on the symplectic capacity of convex bod
ies\, (iii) a generalization of Gromov's non-squeezing theorem in the inte
rmediate dimensions for symplectomorphisms that are close to linear ones.\
n
LOCATION:https://researchseminars.org/talk/SympZoominar/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marco Mazzucchelli (ENS- Lyon)
DTSTART:20200508T131500Z
DTEND:20200508T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/4
DESCRIPTION:Title: Spectral characterizations of Besse and Zoll Reeb flows\nby Marco
Mazzucchelli (ENS- Lyon) as part of Symplectic zoominar\n\n\nAbstract\nIn
this talk\, I will address a geometric inverse problem from contact geome
try: is it possible to recognize whether all orbits of a given Reeb flow a
re closed from the knowledge of the action spectrum? Borrowing the termino
logy from Riemannian geometry\, Reeb flows all of whose orbits are closed
are sometimes called Besse\, and Besse Reeb flows all of whose orbits have
the same minimal period are sometimes called Zoll. In the talk I will su
mmarize recent results on this inverse problem in a few settings: geodesic
flows (joint work with Stefan Suhr)\, closed contact 3-manifolds (joint w
ork with Daniel Cristofaro-Gardiner)\, convex contact spheres and\, more g
enerally\, restricted contact type hypersurfaces of symplectic vector spac
es (joint work with Viktor Ginzburg and Basak Gürel). I will also mention
a few conjectures and open problems.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jo Nelson (Rice)
DTSTART:20200515T131500Z
DTEND:20200515T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/5
DESCRIPTION:Title: Reflections on cylindrical contact homology\nby Jo Nelson (Rice)
as part of Symplectic zoominar\n\n\nAbstract\nThis talk beings with a ligh
t introduction\, including some historical anecdotes to motivate the deve
lopment of this Floer theoretic machinery for contact manifolds some 25 ye
ars ago. I will discuss joint work with Hutchings which constructs noneq
uivariant and a family Floer equivariant version of contact homology. Both
theories are generated by two copies of each Reeb orbit over Z and captur
e interesting torsion information. I will explain the need for an obstruc
tion bundle gluing correction term in the expression of the differential i
n the presence of contractible Reeb orbits\, which is essential even in th
e simple example of an ellipsoid. I will then explain how one can recover
the original cylindrical theory proposed by Eliashberg-Givental-Hofer via
our constructions.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Denis Auroux (Harvard)
DTSTART:20200522T131500Z
DTEND:20200522T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/6
DESCRIPTION:Title: Mirrors of curves and their Fukaya categories\nby Denis Auroux (H
arvard) as part of Symplectic zoominar\n\n\nAbstract\nHomological mirror s
ymmetry predicts that the derived category of coherent sheaves on a curve
has a symplectic counterpart as the Fukaya category of a mirror space. How
ever\, with the exception of elliptic curves\, this mirror is usually a sy
mplectic Landau-Ginzburg model\, i.e. a non-compact manifold equipped with
the extra data of a "stop" in its boundary at infinity. Most of the talk
will focus on a family of Landau-Ginzburg models which provide mirrors to
curves in (C*)^2 or in toric surfaces (or more generally to hypersurfaces
in toric varieties)\, and their fiberwise wrapped Fukaya categories (joint
work with Mohammed Abouzaid). I will then discuss more a speculative way
of constructing mirrors of curves without Landau-Ginzburg models\, involvi
ng a new flavor of Lagrangian Floer theory in trivalent configurations of
Riemann surfaces (joint work with Alexander Efimov and Ludmil Katzarkov).\
n
LOCATION:https://researchseminars.org/talk/SympZoominar/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alex Oancea (Paris)
DTSTART:20200529T131500Z
DTEND:20200529T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/7
DESCRIPTION:Title: Duality for Rabinowitz-Floer homology\nby Alex Oancea (Paris) as
part of Symplectic zoominar\n\n\nAbstract\nI will explain a duality theore
m with products in Rabinowitz-Floer homology. This has a bearing on string
topology and explains a number of dualities that have been observed in th
at setting. Joint work in progress with Kai Cieliebak and Nancy Hingston.\
n
LOCATION:https://researchseminars.org/talk/SympZoominar/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Leonid Polterovich (Tel Aviv)
DTSTART:20200410T131500Z
DTEND:20200410T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/8
DESCRIPTION:Title: Geometry of Quantum Uncertainty\nby Leonid Polterovich (Tel Aviv)
as part of Symplectic zoominar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/SympZoominar/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Cristofaro-Gardiner (IAS)
DTSTART:20200403T131500Z
DTEND:20200403T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/9
DESCRIPTION:Title: The Simplicity Conjecture\nby Daniel Cristofaro-Gardiner (IAS) as
part of Symplectic zoominar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/SympZoominar/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Octav Cornea (Montreal)
DTSTART:20200327T131500Z
DTEND:20200327T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/10
DESCRIPTION:Title: Fragmentation pseudo-metrics and Lagrangian submanifolds\nby Oct
av Cornea (Montreal) as part of Symplectic zoominar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/SympZoominar/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Mclean (SUNY\, Stony Brook)
DTSTART:20200612T131500Z
DTEND:20200612T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/11
DESCRIPTION:Title: Floer Cohomology and Arc Spaces.\nby Mark Mclean (SUNY\, Stony B
rook) as part of Symplectic zoominar\n\n\nAbstract\nLet f be a polynomial
over the complex numbers with an isolated singular point at the origin and
let d be a positive integer. To such a polynomial we can assign a variety
called the dth contact locus of f. Morally\, this corresponds to the spac
e of d-jets of holomorphic disks in complex affine space whose boundary `w
raps' around the singularity d times. We show that Floer cohomology of the
dth power of the Milnor monodromy map is isomorphic to compactly supporte
d cohomology of the dth contact locus. This answers a question of Paul Sei
del and it also proves a conjecture of Nero Budur\, Javier Fernández de B
obadilla\, Quy Thuong Lê and Hong Duc Nguyen. The key idea of the proof i
s to use a jet space version of the PSS map together with a filtration arg
ument.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Morgan Weiler\, Joé Brendel\, Abror Pirnapasov
DTSTART:20200605T131500Z
DTEND:20200605T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/12
DESCRIPTION:Title: Three 20 minutes research talks by young researchers.\nby Morgan
Weiler\, Joé Brendel\, Abror Pirnapasov as part of Symplectic zoominar\n
\n\nAbstract\nMorgan Weiler (Rice):Infinite staircases of symplectic embed
dings of ellipsoids into Hirzebruch surfaces\n\n \nJoé Brendel (Neuchatel
): Real Lagrangian Tori in toric symplectic manifolds \n\nAbror Pirnapasov
(Bochum): Reeb orbits that force topological entropy\n\nSee the external
web page for full abstracts.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Igor Uljarevic (Belgrade)
DTSTART:20200619T131500Z
DTEND:20200619T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/13
DESCRIPTION:Title: Exotic symplectomorphisms and contact circle action\nby Igor Ulj
arevic (Belgrade) as part of Symplectic zoominar\n\n\nAbstract\nAn exotic
symplectomorphism is a symplectomorphism that is not isotopic to the ident
ity through compactly supported symplectomorphisms.Using Floer-theoretic m
ethods\, we prove that the non-existence of an exotic symplectomorphism on
the standard symplectic ball\, $\\mathbb{B}^{2n}\,$ implies a rather stri
ct topological condition on the free contact circle actions on the standar
d contact sphere\, $\\mathbb{S}^{2n-1}.$ We also prove an analogue for a L
iouville domain and contact circle actions on its boundary. Applications i
nclude results on the symplectic mapping class group\, the fundamental gro
up of the group of contactomorphisms\, and exotic contact structures on $\
\mathbb{S}^3.$ The talk is based on joint work with Dusan Drobnjak.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ailsa Keating (Cambridge)
DTSTART:20200626T131500Z
DTEND:20200626T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/14
DESCRIPTION:Title: Distinguishing monotone Lagrangians via holomorphic annuli\nby A
ilsa Keating (Cambridge) as part of Symplectic zoominar\n\n\nAbstract\nWe
present techniques for constructing families of compact\, monotone (includ
ing exact) Lagrangians in certain affine varieties\, starting with Briesko
rn-Pham hypersurfaces. We will focus on dimensions 2 and 3. In particular\
, we'll explain how to set up well-defined counts of holomorphic annuli fo
r a range of these families. Time allowing\, we will give a number of appl
ications.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ana Rita Pires (Edinburgh)
DTSTART:20200703T131500Z
DTEND:20200703T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/15
DESCRIPTION:Title: Infinite staircases and reflexive polygons (part of Ellipsoid day jo
int with Western Hemisphere Virtual Symplectic Seminar)\nby Ana Rita P
ires (Edinburgh) as part of Symplectic zoominar\n\n\nAbstract\nA classic r
esult\, due to McDuff and Schlenk\, asserts that the function that encodes
when a four-dimensional symplectic ellipsoid can be embedded into a four-
dimensional ball has a remarkable structure: the function has infinitely m
any corners\, determined by the odd-index Fibonacci numbers\, that fit tog
ether to form an infinite staircase. The work of McDuff and Schlenk has re
cently led to considerable interest in understanding when the ellipsoid em
bedding function for other symplectic 4-manifolds is partly described by a
n infinite staircase. In this talk we will discuss a general framework fo
r analyzing this question for a large family of targets\, and in particula
r give an obstruction to the existence of an infinite staircase that exper
imentally seems strong. We will then look at the special case of rational
convex toric domains / closed symplectic toric manifolds\, for which we pr
ove the existence of six families of targets with infinite staircases that
are distinguished by the fact that their moment polygon is reflexive. The
proof uses\, among other tools\, almost toric fibrations -- see also the
second of the ellipsoid day talks. Finally\, we conjecture that these six
families constitute a complete answer to the question of existence of infi
nite staircase. This conjecture has been verified in the case when the tar
get is an ellipsoid -- see the third of the ellipsoid day talks. This is b
ased on joint work of Dan Cristofaro-Gardiner\, Tara Holm\, Alessia Mandin
i\, and Ana Rita Pires.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Ozsvath (Princeton)
DTSTART:20200710T131500Z
DTEND:20200710T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/16
DESCRIPTION:Title: Knot Floer homology and bordered algebras\nby Peter Ozsvath (Pri
nceton) as part of Symplectic zoominar\n\n\nAbstract\nKnot Floer homology
is an invariant for knots in three-space\, defined as a Lagrangian Floer h
omology in a symmetric product. It has the form of a bigraded vector spac
e\, encoding topological information about the knot. I will discuss an al
gebraic approach to computing knot Floer homology\, and a corresponding ve
rsion for links\, based on decomposing knot diagrams. This is joint work w
ith Zoltan Szabo\, building on earlier joint work (bordered Heegaard Floer
homology) with Robert Lipshitz and Dylan Thurston.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yusuke Kawamoto (Ecole Normale Supérieure)\, Shira Tanny (Tel-Avi
v University)\, and Javier Martínez-Aguinaga (Universidad Complutense Mad
rid)
DTSTART:20200717T131500Z
DTEND:20200717T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/17
DESCRIPTION:Title: Three 20 minutes research talks by young researchers.\nby Yusuke
Kawamoto (Ecole Normale Supérieure)\, Shira Tanny (Tel-Aviv University)\
, and Javier Martínez-Aguinaga (Universidad Complutense Madrid) as part o
f Symplectic zoominar\n\n\nAbstract\nKawamoto: Homogeneous quasimorphism\,
C^0-topology and Lagrangian intersection\n\nTanny: Floer theory of disjoi
ntly supported Hamiltonians\n\nMartínez-Aguinaga: Madrid Formal Legendria
n and horizontal embeddings\n
LOCATION:https://researchseminars.org/talk/SympZoominar/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:John Pardon (Princeton)
DTSTART:20200724T131500Z
DTEND:20200724T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/18
DESCRIPTION:Title: Pontryagin--Thom for orbifold bordism\nby John Pardon (Princeton
) as part of Symplectic zoominar\n\n\nAbstract\nThe classical Pontryagin
–Thom isomorphism equates manifold bordism groups with corresponding sta
ble homotopy groups. This construction moreover generalizes to the equiva
riant context. I will discuss work which establishes a Pontryagin--Thom i
somorphism for orbispaces (an orbispace is a "space" which is locally mode
lled on Y/G for Y a space and G a finite group\; examples of orbispaces in
clude orbifolds and moduli spaces of pseudo-holomorphic curves). This inv
olves defining a category of orbispectra and an involution of this categor
y extending Spanier--Whitehead duality. Global homotopy theory also plays
a key role.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Georgios Dimitroglou Rizell (Uppsala)
DTSTART:20200904T131500Z
DTEND:20200904T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/19
DESCRIPTION:Title: Hamiltonian classification and unlinkedness of fibres in cotangent b
undles of Riemann surfaces\nby Georgios Dimitroglou Rizell (Uppsala) a
s part of Symplectic zoominar\n\n\nAbstract\nIn a joint work with Laurent
Côté we show the following\nresult. Any Lagrangian plane in the cotangen
t bundle of an open Riemann surface which coincides with a cotangent fibre
outside of some compact subset\, is compactly supported Hamiltonian isoto
pic to that fibre. This result implies Hamiltonian unlinkedness for Lagran
gian links in the cotangent bundle of a (possibly closed Riemann surface w
hose components are Hamiltonian isotopic to fibres.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vincent Colin (Nantes)
DTSTART:20200911T131500Z
DTEND:20200911T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/20
DESCRIPTION:Title: Reeb dynamics in dimension 3 and broken book decompositions\nby
Vincent Colin (Nantes) as part of Symplectic zoominar\n\n\nAbstract\nIn a
joint work with Pierre Dehornoy and Ana Rechtman\, we prove that on a clos
ed 3-manifold\, every nondegenerate Reeb vector field is supported by a br
oken book decomposition. From this property\, we deduce that in dimension
3 every nondegenerate Reeb vector field has either 2 or infinitely periodi
c orbits and that on a closed 3-manifold that is not graphed\, every nonde
generate Reeb vector field has positive topological entropy.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cheol-Hyun Cho (Seoul)
DTSTART:20200918T131500Z
DTEND:20200918T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/21
DESCRIPTION:Title: Fukaya category for Landau-Ginzburg orbifolds and Berglund-H\\"ubsch
homological mirror symmetry for curve singularities.\nby Cheol-Hyun C
ho (Seoul) as part of Symplectic zoominar\n\n\nAbstract\nFor a weighted ho
mogeneous polynomial and a choice of a diagonal symmetry group\, we define
a new Fukaya category based on wrapped Fukaya category of its Milnor fibe
r together with monodromy\ninformation. It is analogous to the variation o
perator in singularity theory. As an application\, we formulate a complete
version of Berglund-H\\"ubsch homological mirror symmetry and prove it fo
r two variable cases. Namely\, given one of the polynomials $f= x^p+y^q\,
x^p+xy^q\,x^py+xy^q$ and a symmetry group $G$\, we use Floer theoretic con
struction to obtain the transpose polynomial $f^t$ with the transpose symm
etry group $G^t$ as well as an explicit A-infinity equivalence between the
new Fukaya category of $(f\,G)$ to the matrix factorization category of $
(f^t\, G^t)$. In this case\, monodromy is mirror to the restriction of LG
model to a hypersurface. For ADE singularities\, Auslander-Reiten quiver
for indecomposable matrix factorizations were known from 80's\, and we fin
d the corresponding Lagrangians as well as surgery exact sequences. This
is a joint work with Dongwook Choa and Wonbo Jung.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lev Buhovsky (Tel Aviv)
DTSTART:20201009T131500Z
DTEND:20201009T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/22
DESCRIPTION:Title: The Arnold conjecture\, spectral invariants and C^0 symplectic topol
ogy\nby Lev Buhovsky (Tel Aviv) as part of Symplectic zoominar\n\n\nAb
stract\nThe Arnold conjecture about fixed points of Hamiltonian diffeomorp
hisms was partly motivated by the celebrated Poincare-Birkhoff fixed point
\ntheorem for an area-preserving homeomorphism of an annulus in the plane
. Despite the fact that the Arnold conjecture was formulated in he smooth
setting\, several attempts to return to the continuous setting of homeomor
phisms and to study the conjecture in this setting has been made afterward
s. In this talk I will describe some old and more recent results on the su
bject. Based on a joint work with V. Humiliere and S. Seyfaddini.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jun Zhang (Montreal)
DTSTART:20200925T131500Z
DTEND:20200925T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/23
DESCRIPTION:Title: Triangulated persistence categories\nby Jun Zhang (Montreal) as
part of Symplectic zoominar\n\n\nAbstract\nThis talk will discuss a new al
gebraic structure called triangulated persistence category (TPC). It combi
nes the triangulated category structure with the persistence module struct
ure. This algebraic structure can be used to associate a metric topology o
n the object-set of a triangulated category\, which leads to various dynam
ical questions on a pure algebraic set-up. Many examples are naturally end
owed with the TPC structure\, for instance\, derived Fukaya category\, Tam
arkin category\, etc. In this talk\, we will illustrate one algebraic exam
ple in depth via extending the Bondal-Kapranov’s classical pre-triangula
ted dg-category to a filtered version. This talk is based on an in-progres
s project joint with Paul Biran and Octav Cornea.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dusa McDuff (Columbia)
DTSTART:20201002T131500Z
DTEND:20201002T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/24
DESCRIPTION:Title: Embedding ellipsoids into the one-point blowup of $\\C P^2$\nby
Dusa McDuff (Columbia) as part of Symplectic zoominar\n\n\nAbstract\nThis
talk reports on joint work with Maria Bertozzi\, Tara Holm\, Emily Maw\,
Grace Mwakyoma\, Ana Rita Pires\, and Morgan Weiler on a WiSCon project
to investigate the embedding capacity function of the one-point blow up
of $\\C P^2$. We found three new families of staircases\, that are relate
d by symmetries and have other interesting structural features. This talk
will explain our findings and our conjectures.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Hutchings (Berkeley)
DTSTART:20201023T131500Z
DTEND:20201023T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/25
DESCRIPTION:Title: Examples related to Viterbo's conjectures\nby Michael Hutchings
(Berkeley) as part of Symplectic zoominar\n\n\nAbstract\nViterbo conjectur
ed that a normalized symplectic capacity\, on convex domains of a given vo
lume\, is maximized for the ball. A stronger version of this conjecture as
serts that all normalized symplectic capacities agree on convex domains. S
ince convexity is not symplectomorphism invariant\, one can also ask to wh
at extent these statements still hold for nonconvex domains. We survey som
e special cases and examples around these questions\, including recent joi
nt works with Julian Chaidez and Jean Gutt + Vinicius Ramos.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Umut Varolgunes (Stanford)
DTSTART:20201016T131500Z
DTEND:20201016T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/26
DESCRIPTION:Title: Mirror symmetry for chain type polynomials\nby Umut Varolgunes (
Stanford) as part of Symplectic zoominar\n\n\nAbstract\nI will start by ex
plaining Takahashi's homological mirror symmetry (HMS) conjecture regardin
g invertible polynomials\, which is an open string reinterpretation of Ber
glund-Hubsch-Henningson mirror symmetry. In joint work with A. Polishchuk\
, we resolved this HMS conjecture in the chain type case up to rigorous pr
oofs of general statements about Fukaya-Seidel categories. Our proof goes
by showing that the categories in both sides are obtained from the categor
y Vect(k) by applying a recursion. I will explain this recursion categoric
ally and sketch the argument for why it is satisfied on the A-side assumin
g the aforementioned foundational results. If time permits\, I will also m
ention what goes into the proof in the B-side.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eva Miranda (UPC)
DTSTART:20201204T141500Z
DTEND:20201204T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/27
DESCRIPTION:Title: The singular Weinstein conjecture and the Contact/Beltrami mirror\nby Eva Miranda (UPC) as part of Symplectic zoominar\n\n\nAbstract\nIn t
his talk\, I will address the (singular) Weinstein conjecture about the ex
istence of (singular) periodic orbits of Reeb vector fields on compact man
ifolds endowed with singular contact forms. Our motivating examples come f
rom Celestial mechanics (restricted three-body problem) where contact topo
logy techniques were already successful in determining the existence of pe
riodic orbits (Albers-Frauenfelder-Van Koert-Paternain). With the aim of c
ompleting this understanding\, we deal with the restricted three body exam
ple by adding the so-called "infinity set" (via a McGehee regularization).
This induces a singularity on the contact structure which permeates the g
eometry and topology of the problem.\n\nHofer's fine techniques to prove t
he Weinstein conjecture for overtwisted 3-dimensional contact manifolds ca
n be adapted in this singular set-up under some symmetry assumptions close
to the singular set (which also work for the non-compact case). We prove
the existence of infinite smooth Reeb periodic orbits on the (compact) cri
tical set of the contact form. This critical set can often be identified w
ith the collision set or set at infinity in the motivating examples from C
elestial mechanics. In those examples\, escape trajectories can be often c
ompactified as singular periodic orbits.\n \nTime permitting\, we will end
up this talk proving the existence of escape orbits and generalized singu
lar periodic orbits for 3-dimensional singular contact manifolds under som
e mild assumptions. Our theory benefits in a great manner from the existen
ce of a correspondence (up to reparametrization) between Reeb and Beltrami
vector fields (Etnyre and Ghrist) which can be exported to this singular
set-up. In particular\, Uhlenbeck's genericity results for the eigenfuncti
ons of the Laplacian is a key point of the proof.\n\nThe contents of this
talk are based on joint works with Cédric Oms and Daniel Peralta-Salas.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhengyi Zhou (IAS\, Princeton)
DTSTART:20201211T141500Z
DTEND:20201211T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/28
DESCRIPTION:Title: Hierarchies of contact manifolds via rational SFT\nby Zhengyi Zh
ou (IAS\, Princeton) as part of Symplectic zoominar\n\n\nAbstract\nI will
explain the construction of a functor from the exact symplectic cobordism
category to a totally ordered set\, which measures the complexity of the c
ontact structure. Those invariants are derived from a bi-Lie infinity for
malism of the rational SFT and a partial construction of the rational SFT.
In this talk\, I will focus on the construction and properties of the fun
ctor. Time permitting\, I will explain applications\, computations\, and r
elations to the involutive bi-Lie infinity formalism of the full SFT. This
is joint work with Agustin Moreno.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kai Cieliebak (Augsburg)
DTSTART:20201106T141500Z
DTEND:20201106T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/29
DESCRIPTION:Title: Secondary coproducts in Morse and Floer homology\nby Kai Cielieb
ak (Augsburg) as part of Symplectic zoominar\n\n\nAbstract\nThis talk is a
bout joint work with Nancy Hingston and Alexandru Oancea. We describe vari
ous secondary coproducts on the Floer homology of a cotangent bundle and s
how that\, under Viterbo's isomorphism\, they all correspond to the Goresk
y-Hingston coproduct on loop space homology. The proof uses compactified m
oduli spaces of punctured holomorphic annuli.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yu-Wei Fan (Berkeley)\; Surena Hozoori (Georgia Tech)\; Marcelo A
tallah (Montreal)
DTSTART:20201127T141500Z
DTEND:20201127T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/30
DESCRIPTION:Title: Three short research talks of 20 min each.\nby Yu-Wei Fan (Berke
ley)\; Surena Hozoori (Georgia Tech)\; Marcelo Atallah (Montreal) as part
of Symplectic zoominar\n\n\nAbstract\nYu-Wei Fan: Shifting numbers in tri
angulated categories.\n\nAbstract: One can consider endofunctors of triang
ulated categories as categorical dynamical systems\, and study their long
term behaviors under large iterations. There are (at least) three natural
invariants that one can associate to endofunctors from the dynamical persp
ective: categorical entropy\, and upper/lower shifting numbers. We will re
call some background on categorical dynamical systems and categorical entr
opy\, and introduce the notion of shifting numbers\, which measure the asy
mptotic amount by which an endofunctor of a triangulated category translat
es inside the category. The shifting numbers are analogous to Poincare tra
nslation numbers. We additionally establish that in some examples the shif
ting numbers provide a quasimorphism on the group of autoequivalences. Joi
nt work with Simion Filip.\n\nSurena Hozoori: Symplectic Geometry of Anoso
v Flows in Dimension 3 and Bi-Contact Topology.\n\nAbstract: We give a pur
ely contact and symplectic geometric characterization of Anosov flows in d
imension 3 and set up a framework to use tools from contact and symplectic
geometry and topology in the study of questions about Anosov dynamics. If
time permits\, we will discuss some uniqueness results for the underlying
(bi-) contact structure for an Anosov flow\, and/or a characterization of
Anosovity based on Reeb flows.\n\nMarcelo Atallah: Hamiltonian no-torsion
\n\nAbstract: In 2002 Polterovich notably showed that Hamiltonian diffeomo
rphisms of finite order\, which we call Hamiltonian torsion\, must be triv
ial on closed symplectically aspherical manifolds. We study the existence
of Hamiltonian torsion and its metric rigidity properties in more general
situations. First\, we extend Polterovich's result to closed symplecticall
y Calabi-Yau and closed negative monotone manifolds. Second\, going beyond
topological constraints\, we describe how Hamiltonian torsion is related
to the existence of pseudo-holomorphic spheres and answer a close variant
of Problem 24 from the introductory monograph of McDuff-Salamon. Finally\,
we prove an analogue of Newman’s 1931 theorem for Hofer’s metric and
Viterbo’s spectral metric on the Hamiltonian group of monotone symplecit
c manifolds: a sufficiently small ball around the identity contains no tor
sion. During the talk\, I shall discuss the results above and some of the
key ingredients of their proofs. This talk is based on joint work with Ego
r Shelukhin.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simon Allais (ENS Lyon)\; Orsola Capovilla-Searle (Duke)\; Julia
n Chaidez (UCB)
DTSTART:20201030T131500Z
DTEND:20201030T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/31
DESCRIPTION:Title: Three short research talks of 20 min each.\nby Simon Allais (ENS
Lyon)\; Orsola Capovilla-Searle (Duke)\; Julian Chaidez (UCB) as part o
f Symplectic zoominar\n\n\nAbstract\nSimon Allais (ENS Lyon): Generating f
unctions in Hamiltonian dynamics and symplectic-contact rigidity\n\nAbstra
ct: Generating functions of Hamiltonian diffeomorphisms are maps that can
be seen as finite dimensional versions of the action functional. In variou
s situations\, classical Morse theory applied to them can retrieve the sam
e information as the Floer theory. In this talk\, I will introduce this to
ol and expose some old and new results of Hamiltonian dynamics and symplec
tic rigidity that can be retrieved and sometimes extended using elementary
Morse theory and generating functions\; among others\, the recent theorem
of Shelukhin about the Hofer-Zehnder conjecture in the special case of CP
^d and a contact generalization of the symplectic camel theorem.\n\nOrsola
Capovilla-Searle (Duke University): Weinstein handle decompositions of co
mplements of toric divisors in toric 4 manifolds\n\nAbstract: We consider
toric 4 manifolds with certain toric divisors that have normal crossing si
ngularities. The normal crossing singularities can be smoothed\, changing
the topology of the complement. In specific cases this complement has a We
instein structure\, and we develop an algorithm to construct a Weinstein h
andlebody diagram of the complement of the smoothed toric divisor. The alg
orithm we construct more generally gives a Weinstein handlebody diagram fo
r Weinstein 4-manifolds constructed by attaching 2 handles to T*S for any
surface S\, where the 2 handles are attached along the conormal lift of cu
rves on S. Joint work with Bahar Acu\, Agnes Gadbled\, Aleksandra Marinko
vic\, Emmy Murphy\, Laura Starkston and Angela Wu.\n\nJulian Chaidez (UC B
erkeley): ECH Embedding Obstructions For Rational Surfaces\n\nAbstract: I
s the Gromov width on toric varieties monotonic with respect to inclusions
of moment polytopes? In this talk\, I will prove a generalization in dime
nsion 4: the "width" associated to a concave toric domain is monotonic wit
h inclusion of momenty polygons. This is an application of some new algebr
o-geometric obstructions for embeddings of star-shaped domains into ration
al surfaces. This work is joint with Ben Wormleighton.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nick Sheridan (Edinburgh)
DTSTART:20201113T141500Z
DTEND:20201113T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/32
DESCRIPTION:Title: Quantum cohomology as a deformation of symplectic cohomology\nby
Nick Sheridan (Edinburgh) as part of Symplectic zoominar\n\n\nAbstract\nL
et X be a compact symplectic manifold\, and D a normal crossings symplecti
c divisor in X. We give a criterion under which the quantum cohomology of
X is the cohomology of a natural deformation of the symplectic cochain com
plex of X \\ D. The criterion can be thought of in terms of the Kodaira di
mension of X (which should be non-positive)\, and the log Kodaira dimensio
n of X \\ D (which should be non-negative). The crucial tool is Varolgunes
' relative symplectic cohomology. This is joint work with Strom Borman and
Umut Varolgunes.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paul Biran (ETH Zurich)
DTSTART:20201120T141500Z
DTEND:20201120T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/33
DESCRIPTION:Title: Persistence and Triangulation in Lagrangian Topology.\nby Paul B
iran (ETH Zurich) as part of Symplectic zoominar\n\n\nAbstract\nTriangulat
ed categories play an important role in symplectic topology. The aim of th
is talk is to explain how to combine triangulated structures with persiste
nce module theory in a geometrically meaningful way. The guiding principle
comes from the theory of Lagrangian cobordism. The talk is based on ongoi
ng joint work with Octav Cornea and Jun Zhang.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lisa Jeffrey (University of Toronto)
DTSTART:20210115T141500Z
DTEND:20210115T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/34
DESCRIPTION:Title: Symplectic implosion\nby Lisa Jeffrey (University of Toronto) as
part of Symplectic zoominar\n\n\nAbstract\nSymplectic implosion was devel
oped to solve the problem that the\nsymplectic cross-section of a Hamilton
ian K-space is usually not\nsymplectic\, when K is a compact Lie group.\n\
nThe symplectic implosion is a stratified symplectic space\, introduced in
\na 2002 paper of the speaker with Guillemin and Sjamaar. I survey some e
xamples showing how symplectic implosion has been used.\nI describe the un
iversal imploded cross-section\, which is the\nimploded cross-section of t
he cotangent bundle of a compact Lie group.\n\nImploded cross-sections are
normally not smooth manifolds.\nWe describe some invariants (for example
intersection homology)\nwhich replace homology for singular stratified sp
aces.\n\n(Joint work with Sina Zabanfahm)\n
LOCATION:https://researchseminars.org/talk/SympZoominar/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Basak Gurel (UCF)
DTSTART:20210122T141500Z
DTEND:20210122T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/35
DESCRIPTION:Title: Pseudo-rotations vs. rotations\nby Basak Gurel (UCF) as part of
Symplectic zoominar\n\n\nAbstract\nThe talk will focus on the question of
whether existing symplectic methods can distinguish pseudo-rotations from
rotations (i.e.\, elements of Hamiltonian circle actions). For the project
ive plane\, in many instances\, but not always\, the answer is negative. N
amely\, for virtually every pseudo-rotation there exists a unique rotation
with precisely the same fixed-point data. However\, the hypothetical exce
ptions — ghost pseudo-rotations — suggest that the relation between th
e two classes of maps might be much weaker than previously thought\, possi
bly leading to some unexpected consequences. This is based on joint work w
ith Viktor Ginzburg.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Three 20 min research talks: Alexandre Jannaud (Sorbonne)\; Tim La
rge (MIT)\; Oliver Edtmair (Berkeley)
DTSTART:20210129T141500Z
DTEND:20210129T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/36
DESCRIPTION:by Three 20 min research talks: Alexandre Jannaud (Sorbonne)\;
Tim Large (MIT)\; Oliver Edtmair (Berkeley) as part of Symplectic zoomina
r\n\n\nAbstract\nAlexandre Jannaud (University of Neuchatel)\, Dehn-Seidel
twist\, C^0 symplectic geometry and barcodes\n\nAbstract. In this talk I
will present my work initiating the study of the $C^0$ symplectic mapping
class group\, i.e. the group of isotopy classes of symplectic homeomorphis
ms\, and briefly present the proofs of the first results regarding the top
ology of the group of symplectic homeomorphisms. For that purpose\, we wil
l introduce a method coming from Floer theory and barcodes theory. Applyin
g this strategy to the Dehn-Seidel twist\, a symplectomorphism of particul
ar interest when studying the symplectic mapping class group\, we will gen
eralize to $C^0$ settings a result of Seidel concerning the non-triviality
of the mapping class of this symplectomorphism. We will indeed prove that
the generalized Dehn twist is not in the connected component of the ident
ity in the group of symplectic homeomorphisms. Doing so\, we prove the non
-triviality of the $C^0$ symplectic mapping class group of some Liouville
domains.\n\nTim Large (MIT)\, Floer K-theory and exotic Liouville manifold
s\n\nAbstract: In this short talk\, I will explain how to construct Liouvi
lle manifolds which have zero traditional symplectic cohomology but intere
sting symplectic K-theory. In particular\, we construct an exotic symplect
ic structure on Euclidean space which is not distinguished by traditional
Floer homology invariants. Instead\, it is detected by a module spectrum f
or complex K-theory\, built as a variant of Cohen-Jones-Segal’s Floer ho
motopy type. The proof involves passage through (wrapped) Fukaya categorie
s with coefficients in a ring spectrum\, rather than an ordinary ring.\n\n
\nOliver Edtmair (Berkeley)\, 3D convex contact forms and the Ruelle invar
iant \n\nAbstract. Is every dynamically convex contact form on the three s
phere convex? In this talk I will explain why the answer to this question
is no. The strategy is to derive a lower bound on the Ruelle invariant of
convex contact forms and construct dynamically convex contact forms violat
ing this lower bound. This is based on joint work with Julian Chaidez.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yusuf Baris Kartal (Princeton)
DTSTART:20210205T141500Z
DTEND:20210205T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/37
DESCRIPTION:Title: Algebraic torus actions on Fukaya categories and tameness of change
in Floer homology under symplectic isotopies.\nby Yusuf Baris Kartal (
Princeton) as part of Symplectic zoominar\n\n\nAbstract\nThe purpose of th
is talk is to explore how Lagrangian Floer homology groups change under (n
on-Hamiltonian) symplectic isotopies on a (negatively) monotone symplectic
manifold $(M\,\\omega)$ satisfying a strong non-degeneracy condition. Mor
e precisely\, given two Lagrangian branes $L\,L'$\, consider family of Flo
er homology groups $HF(\\phi_v(L)\,L')$\, where $v\\in H^1(M\,\\mathbb R)$
and $\\phi_v$ is the time-1 map of a symplectic isotopy with flux $v$. We
show how to fit this collection into an algebraic sheaf over the algebrai
c torus $H^1(M\,\\mathbb G_m)$. The main tool is the construction of an "a
lgebraic action" of $H^1(M\,\\mathbb G_m)$ on the Fukaya category. As an a
pplication\, we deduce the change in Floer homology groups satisfy various
tameness properties\, for instance\, the dimension is constant outside an
algebraic subset of $H^1(M\,\\mathbb G_m)$. Similarly\, given closed $1$-
form $\\alpha$\, which generates a symplectic isotopy denoted by $\\phi_\\
alpha^t$\, the Floer homology groups $HF(\\phi_\\alpha^t(L)\,L')$ have ran
k that is constant in $t$\, with finitely many possible exceptions.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cheuk Yu Mak (Edinburgh)
DTSTART:20210212T141500Z
DTEND:20210212T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/38
DESCRIPTION:Title: Non-displaceable Lagrangian links in four-manifolds\nby Cheuk Yu
Mak (Edinburgh) as part of Symplectic zoominar\n\n\nAbstract\nOne of the
earliest fundamental applications of Lagrangian Floer theory is detecting
the non-displaceablity of a Lagrangian submanifold. Many progress and gen
eralisations have been made since then but little is known when the Lagran
gian submanifold is disconnected. In this talk\, we describe a new idea t
o address this problem. Subsequently\, we explain how to use Fukaya-Oh-Oh
ta-Ono and Cho-Poddar theory to show that for every S^2 \\times S^2 with a
non-monotone product symplectic form\, there is a continuum of disconnect
ed\, non-displaceable Lagrangian submanifolds such that each connected com
ponent is displaceable. This is a joint work with Ivan Smith.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Pomerleano (Boston)
DTSTART:20210219T141500Z
DTEND:20210219T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/39
DESCRIPTION:Title: Intrinsic mirror symmetry and categorical crepant resolutions\nb
y Daniel Pomerleano (Boston) as part of Symplectic zoominar\n\n\nAbstract\
nGross and Siebert have recently proposed an "intrinsic" programme for stu
dying mirror symmetry. In this talk\, we will discuss a symplectic interpr
etation of some of their ideas in the setting of affine log Calabi-Yau var
ieties. Namely\, we describe work in progress which shows that\, under sui
table assumptions\, the wrapped Fukaya category of such a variety X gives
an intrinsic "categorical crepant resolution" of Spec(SH0(X)). No backgrou
nd in mirror symmetry will be assumed for the talk.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sylvain Courte (Université Grenoble Alpes)
DTSTART:20210226T141500Z
DTEND:20210226T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/40
DESCRIPTION:Title: Twisted generating functions and the nearby Lagrangian conjecture (P
art of the Generating Functions Day joint with Western Hemisphere Virtual
Symplectic Seminar)\nby Sylvain Courte (Université Grenoble Alpes) as
part of Symplectic zoominar\n\n\nAbstract\nI will explain the notion of t
wisted generating function and show that a closed exact Lagrangian submani
fold L in the cotangent bundle of M admits such a thing. The type of funct
ion arising in our construction is related to Waldhausen's tube space from
his manifold approach to algebraic K-theory of spaces. Using the rational
equivalence of this space with BO\, as proved by Bökstedt\, we conclude
that the stable Lagrangian Gauss map of L vanishes on all homotopy groups.
In particular when M is a homotopy sphere\, we obtain the triviality of t
he stable Lagrangian Gauss map and a genuine generating function for L. Th
is is a joint work with M. Abouzaid\, S. Guillermou and T. Kragh.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sobhan Seyfaddini (IMJ-PRG)
DTSTART:20210305T141500Z
DTEND:20210305T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/41
DESCRIPTION:Title: Periodic Floer homology and the large-scale geometry of Hofer's metr
ic on the sphere\nby Sobhan Seyfaddini (IMJ-PRG) as part of Symplectic
zoominar\n\n\nAbstract\nThe large-scale geometry of Hofer's has been stud
ied since the 90s and has seen much progress for a large class of symplect
ic manifolds. However\, the case of the two-sphere has remained very myste
rious\, especially in comparison to other surfaces. For example\, a well-k
nown conjecture of Kapovich and Polterovich\, from 2006\, states that\, on
the two-sphere\, Hofer's metric is not quasi-isometric to the real line.
I will explain how invariants from periodic Floer homology can be used to
answer this question. Time permitting we will also discuss connections to
continuous symplectic topology. This is based on joint work with Dan Crist
ofaro-Gardiner and Vincent Humilière.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oleg Lazarev (Harvard)
DTSTART:20210312T141500Z
DTEND:20210312T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/42
DESCRIPTION:Title: Inverting primes in Weinstein geometry\nby Oleg Lazarev (Harvard
) as part of Symplectic zoominar\n\n\nAbstract\nA classical construction i
n topology associates to a space $X$ and prime $p$\, a new "localized" spa
ce $X_p$ whose homotopy and homology groups are obtained from those of $X
$ by inverting $p$. In this talk\, I will discuss a symplectic analog of t
his construction\, extending work of Abouzaid-Seidel and Cieliebak-Eliashb
erg on flexible Weinstein structures. Concretely\, I will produce prime-lo
calized Weinstein subdomains of high-dimensional Weinstein domains and als
o show that any Weinstein subdomain of a cotangent bundle agrees Fukaya-ca
tegorically with one of these special subdomains. The key will be to class
ify which objects of the Fukaya category of $T^{\\ast} M$ – twisted com
plexes of Lagrangians – are quasi-isomorphic to actual Lagrangians. This
talk is based on joint work with Z. Sylvan.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Egor Shelukhin (UdeM)
DTSTART:20210319T131500Z
DTEND:20210319T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/43
DESCRIPTION:Title: Lagrangian configurations and Hamiltonian maps\nby Egor Shelukhi
n (UdeM) as part of Symplectic zoominar\n\n\nAbstract\nWe study configurat
ions of disjoint Lagrangian submanifolds in certain low-dimensional symple
ctic manifolds from the perspective of the geometry of Hamiltonian maps. W
e detect infinite-dimensional flats in the Hamiltonian group of the two-sp
here equipped with Hofer's metric\, showing in particular that this group
is not quasi-isometric to a line. This answers a well-known question of Ka
povich-Polterovich from 2006. We show that these flats in $Ham(S^2)$ stabi
lize to certain product four-manifolds\, prove constraints on Lagrangian p
acking\, and find new instances of Lagrangian Poincare recurrence. The tec
hnology involves Lagrangian spectral invariants with Hamiltonian term in s
ymmetric product orbifolds. This is joint work with Leonid Polterovich.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jesse Huang(UIUC)/Shaoyun Bai(Princeton)/Thomas Melistas(UGA)
DTSTART:20210326T131500Z
DTEND:20210326T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/44
DESCRIPTION:Title: Three short research talks of 20 min each.\nby Jesse Huang(UIUC)
/Shaoyun Bai(Princeton)/Thomas Melistas(UGA) as part of Symplectic zoomina
r\n\n\nAbstract\nJesse Huang(UIUC)\, Variation of FLTZ skeleta.\n\nIn this
short talk\, I will discuss an interpolation of FLTZ skeleta mirror to de
rived equivalent toric varieties. This is joint work with Peng Zhou.\n\nSh
aoyun Bai(Princeton)\, $SU(n)$–Casson invariants and symplectic geometry
.\n\nIn 1985\, Casson introduced an invariant of integer homology 3-sphere
s by counting $SU(2)$-representations of the fundamental groups. The gener
alization of Casson invariant by considering Lie groups $SU(n)$ has been l
ong expected\, but the original construction of Casson encounters some dif
ficulties. I will present a solution to this problem\, highlighting the eq
uivariant symplectic geometry and Atiyah-Floer type result entering the co
nstruction.\n\nThomas Melistas(UGA)\, The Large-Scale Geometry of Overtwis
ted Contact Forms.\n\nInspired by the symplectic Banach-Mazur distance\, p
roposed by Ostrover and Polterovich in the setting of non-degenerate stars
haped domains of Liouville manifolds\, we define a distance on the space o
f contact forms supporting a given contact structure on a closed contact m
anifold and we use it to bi-Lipschitz embed part of the 2-dimensional Eucl
idean space into the space of overtwisted contact forms supporting a given
contact structure on a smooth closed manifold.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sheel Ganatra (USC)
DTSTART:20210402T131500Z
DTEND:20210402T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/45
DESCRIPTION:Title: Categorical non-properness in wrapped Floer theory\nby Sheel Gan
atra (USC) as part of Symplectic zoominar\n\n\nAbstract\nIn all known expl
icit computations on Weinstein manifolds\, the self-wrapped Floer homology
of non-compact exact Lagrangian is always either infinite-dimensional or
zero. We will explain why a global variant of this observed phenomenon hol
ds in broad generality: the wrapped Fukaya category of any Weinstein (or n
on-degenerate Liouville) manifold is always either non-proper or zero\, as
is any quotient thereof. Moreover any non-compact connected exact Lagrang
ian is always either a "non-proper object" or zero in such a wrapped Fukay
a category\, as is any idempotent summand thereof. We will also examine wh
ere the argument could break if one drops exactness\, which is consistent
with known computations of non-exact wrapped Fukaya categories which are s
mooth\, proper\, and non-vanishing (e.g.\, work of Ritter-Smith).\n
LOCATION:https://researchseminars.org/talk/SympZoominar/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sara Tukachinsky (IAS)
DTSTART:20210409T131500Z
DTEND:20210409T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/46
DESCRIPTION:Title: Relative quantum cohomology and other stories\nby Sara Tukachins
ky (IAS) as part of Symplectic zoominar\n\n\nAbstract\nWe define a quantum
product on the cohomology of a symplectic manifold relative to a Lagrangi
an submanifold\, with coefficients in a Novikov ring. The associativity of
this product is equivalent to an open version of the WDVV equations for a
n appropriate disk superpotential. Both structures — the quantum product
and the WDVV equations — are consequences of a more general structure w
e call the tensor potential\, which will be the main focus of this talk. T
his is joint work with Jake Solomon.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maxim Jeffs/Côme Dattin/Bingyu Zhang (Harvard/Nantes/Université
Grenoble Alpes)
DTSTART:20210416T131500Z
DTEND:20210416T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/47
DESCRIPTION:Title: Three 20min research talks\nby Maxim Jeffs/Côme Dattin/Bingyu Z
hang (Harvard/Nantes/Université Grenoble Alpes) as part of Symplectic zoo
minar\n\n\nAbstract\nMirror symmetry and Fukaya categories of singular var
ieties (Maxim Jeffs)\n\nIn this talk I will explain Auroux' definition of
the Fukaya category of a singular hypersurface and two results about this
definition\, illustrated with some examples. The first result is that Auro
ux' category is equivalent to the Fukaya-Seidel category of a Landau-Ginzb
urg model on a smooth variety\; the second result is a homological mirror
symmetry equivalence at certain large complex structure limits. I will als
o discuss ongoing work on generalizations.\n\nWrapped sutured Legendrian h
omology and the conormal of braids (Côme Dattin)\n\nIn this talk we will
discuss invariants of sutured Legendrians. A sutured contact manifold can
be seen as either generalizing the contactisation of a Liouville domain\,
or as a presentation of a contact manifold with convex boundary. Using the
first point of view\, we define the wrapped sutured homology of Legendria
ns with boundary\, employing ideas coming from Floer theory. To illustrate
the second aspect\, we apply the unit conormal construction to braids wit
h two strands\, which yields a sutured Legendrian. We will show that\, if
the conormals of two 2-braids are Legendrian isotopic\, then the braids ar
e equivalent.\n\nCapacities from the Chiu-Tamarkin complex (Bingyu Zhang)\
n\nIn this talk\, we will discuss the Chiu-Tamarkin complex. It is a sympl
ectic/contact invariant that comes from the microlocal sheaf theory. I wil
l explain how to define some capacities using the Chiu-Tamarkin complex in
both symplectic and contact situations. The main result is the structure
theorem of the Chiu-Tamarkin complex of convex toric domains. Consequently
\, we can compute the capacities of convex toric domains.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Laura Starkston (UC Davis)
DTSTART:20210507T131500Z
DTEND:20210507T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/48
DESCRIPTION:Title: Unexpected fillings\, singularities\, and plane curve arrangements\nby Laura Starkston (UC Davis) as part of Symplectic zoominar\n\n\nAbst
ract\nI will discuss joint work with Olga Plamenevskaya studying symplecti
c fillings of links of certain complex surface singularities\, and compari
ng symplectic fillings with complex smoothings. We develop characterizatio
ns of the symplectic fillings using planar Lefschetz fibrations and singul
ar braided surfaces. This provides an analogue of de Jong and van Straten'
s work which characterizes the complex smoothings in terms of decorated co
mplex plane curves. We find differences between symplectic fillings and co
mplex smoothings that had not previously been found in rational complex su
rface singularities.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/48/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Álvarez-Gavela (MIT)
DTSTART:20210514T131500Z
DTEND:20210514T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/49
DESCRIPTION:Title: Caustics of Lagrangian homotopy spheres with stably trivial Gauss ma
p\nby Daniel Álvarez-Gavela (MIT) as part of Symplectic zoominar\n\n\
nAbstract\nThe h-principle for the simplification of caustics (i.e. Lagran
gian tangencies) reduces a geometric problem to a homotopical problem. In
this talk I will explain the solution to this homotopical problem in the c
ase of spheres. More precisely\, I will show that the stably trivial eleme
nts of the nth homotopy group of the Lagrangian Grassmannian $U_n/O_n$\n\,
which lies in the metastable range\, admit representatives with only fold
type tangencies. By the h-principle\, it follows that if $D$ is a Lagrang
ian distribution defined along a Lagrangian homotopy sphere $L$\, then the
re exists a Hamiltonian isotopy which simplifies the tangencies between $L
$ and $D$ to consist only of folds if and only if $D$ is stably trivial. I
will give two applications of this result\, one to the arborealization pr
ogram and another to the study of nearby Lagrangian homotopy spheres. Join
t work with David Darrow (in the form of an undergraduate research project
).\n
LOCATION:https://researchseminars.org/talk/SympZoominar/49/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oğuz Şavk/Irene Seifert/Hang Yuan (Boğaziçi University/Heidelb
erg/Stony Brook)
DTSTART:20210528T131500Z
DTEND:20210528T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/50
DESCRIPTION:Title: Three short research talks of 20 min each.\nby Oğuz Şavk/Irene
Seifert/Hang Yuan (Boğaziçi University/Heidelberg/Stony Brook) as part
of Symplectic zoominar\n\n\nAbstract\n(Oğuz Şavk) Classical and new plum
bings bounding contractible manifolds and homology balls\n\nA central prob
lem in low-dimensional topology asks which homology 3-spheres bound contra
ctible 4-manifolds and homology 4-balls. In this talk\, we address this pr
oblem for plumbed 3-manifolds and we present the classical and new results
together. Along the way\, we touch symplectic geometry by using the class
ical results of Eliashberg and Gompf. Our approach is based on Mazur’s f
amous argument which provides a unification of all results.\n\n(Irene Seif
ert) Periodic delay orbits and the polyfold IFT\n\nDifferential delay equa
tions arise very naturally\, but they are much more complicated than ordin
ary differential equations. Polyfold theory\, originally developed for the
study of moduli spaces of pseudoholomorphic curves\, can help to understa
nd solutions of certain delay equations. In my talk\, I will show an exist
ence result about periodic delay orbits with small delay. If time permits\
, we can discuss possible further applications of polyfold theory to the d
ifferential delay equations. This is joint work with Peter Albers.\n\n(Han
g Yuan) Disk counting via family Floer theory\n\nGiven a family of Lagrang
ian tori with full quantum corrections\, the non-archimedean SYZ mirror co
nstruction uses the family Floer theory to construct a non-archimedean ana
lytic space with a global superpotential. In this talk\, we will first bri
efly review the construction. Then\, we will apply it to the Gross’s fib
rations. As an application\, we can compute all the non-trivial open GW in
variants for a Chekanov-type torus in $\\mathbb{CP}^n$ or $\\mathbb{CP}^r\
\times \\mathbb{CP}^{n-r}$. When $n=2$\, $r=1$\, we retrieve the previous
results of Auroux and Chekanov-Schlenk without finding the disks explicitl
y. It is also compatible with the Pascaleff-Tonkonog’s work on Lagrangia
n mutations.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/50/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Simion Filip (Chicago)
DTSTART:20210604T131500Z
DTEND:20210604T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/51
DESCRIPTION:Title: Degenerations of Kahler forms on K3 surfaces\, and some dynamics
\nby Simion Filip (Chicago) as part of Symplectic zoominar\n\n\nAbstract\n
K3 surfaces have a rich geometry and admit interesting holomorphic automor
phisms. As examples of Calabi-Yau manifolds\, they admit Ricci-flat Kähle
r metrics\, and a lot of attention has been devoted to how these metrics d
egenerate as the Kähler class approaches natural boundaries. I will discu
ss how to use the full automorphism group to analyze the degenerations and
obtain certain canonical objects (closed positive currents) on the bounda
ry. While most of the previous work was devoted to degenerating the metric
along an elliptic fibration (motivated by the SYZ picture of mirror symme
try) I will discuss how to analyze all the other points. Time permitting\,
I will also describe the construction of canonical heights on K3 surfaces
(in the sense of number theory)\, generalizing constructions due to Silve
rman and Tate.\nJoint work with Valentino Tosatti.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/51/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francisco Presas (ICMAT)
DTSTART:20210611T131500Z
DTEND:20210611T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/52
DESCRIPTION:Title: The homotopy type of the space of tight contact structures and the o
vertwisted mirage\nby Francisco Presas (ICMAT) as part of Symplectic z
oominar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/SympZoominar/52/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Agustin Moreno (Uppsala)
DTSTART:20210618T131500Z
DTEND:20210618T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/53
DESCRIPTION:Title: On the spatial restricted three-body problem\nby Agustin Moreno
(Uppsala) as part of Symplectic zoominar\n\n\nAbstract\nIn his search for
closed orbits in the planar restricted three-body problem\, Poincaré’s
approach roughly reduces to:\n\n(1) Finding a global surface of section\;\
n(2) Proving a fixed-point theorem for the resulting return map.\n\nThis i
s the setting for the celebrated Poincaré-Birkhoff theorem. In this talk\
, I will discuss a generalization of this program to the spatial problem.\
n\nFor the first step\, we obtain the existence of global hypersurfaces of
section for which the return maps are Hamiltonian\, valid for energies be
low the first critical value and all mass ratios. For the second\, we prov
e a higher-dimensional version of the Poincaré-Birkhoff theorem\, which g
ives infinitely many orbits of arbitrary large period\, provided a suitabl
e twist condition is satisfied. Time permitting\, we also discuss a constr
uction that associates a Reeb dynamics on a moduli space of holomorphic cu
rves (a copy of the three-sphere)\, to the given dynamics\, and its proper
ties.\n\nThis is based on joint work with Otto van Koert.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/53/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Laurent Côté (IAS/Harvard)
DTSTART:20210709T131500Z
DTEND:20210709T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/54
DESCRIPTION:Title: Action filtrations associated to smooth categorical compactification
s\nby Laurent Côté (IAS/Harvard) as part of Symplectic zoominar\n\n\
nAbstract\nThere is notion of a smooth categorical compactification of dg/
A-infinity categories: for example\, a smooth compactification of algebrai
c varieties induces a smooth categorical compactification of the associate
d bounded dg categories of coherent sheaves. In symplectic topology\, wrap
ped Fukaya categories of Weinstein manifolds admit smooth compactification
s by partially wrapped Fukaya categories. The goal of this talk is to expl
ain how to associate an "action filtration" to a smooth categorical compac
tifications\, which is invariant (up to appropriate equivalence) under zig
-zags of smooth compactifications. I will then discuss applications to sym
plectic topology and categorical dynamics. This talk reports on joint work
with Y. Baris Kartal.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/54/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Helmut Hofer (IAS)
DTSTART:20210716T131500Z
DTEND:20210716T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/55
DESCRIPTION:Title: The Floer Jungle: 35 years of Floer Theory\nby Helmut Hofer (IAS
) as part of Symplectic zoominar\n\n\nAbstract\nAn exceptionally gifted ma
thematician and an extremely complex person\, Floer exhibited\, as one fri
end put it\, a "radical individuality." He viewed the world around him wit
h a singularly critical way of thinking and a quintessential disregard for
convention. Indeed\, his revolutionary mathematical ideas\, contradicting
conventional wisdom\, could only be inspired by such impetus\, and can on
ly be understood in this context.\n\nPoincaré's research on the Three Bod
y Problem laid the foundations for the fields of dynamical systems and sym
plectic geometry. From whence the ancestral trail follows Marston Morse an
d Morse theory\, Vladimir Arnold and the Arnold conjectures\, through to b
reakthroughs by Yasha Eliashberg. Likewise\, Charles Conley and Eduard Zeh
nder on the Arnold conjectures\, Mikhail Gromov's theory of pseudoholomorp
hic curves\, providing a new and powerful tool to study symplectic geometr
y\, and Edward Witten's fresh perspective on Morse theory. And finally\, A
ndreas Floer\, who counter-intuitively combined all of this\, hitting the
"jackpot" with what is now called Floer theory.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/55/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mohan Swaminathan/Ben Wormleighton/Jonathan Zung (Princeton/WashU/
Princeton)
DTSTART:20210625T131500Z
DTEND:20210625T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/56
DESCRIPTION:Title: Three short research talks of 20 min each\nby Mohan Swaminathan/
Ben Wormleighton/Jonathan Zung (Princeton/WashU/Princeton) as part of Symp
lectic zoominar\n\n\nAbstract\nTalk 1: Super-rigidity and bifurcations of
embedded curves in \nCalabi-Yau 3-folds\n\nAbstract: I will describe my r
ecent work\, joint with Shaoyun Bai\, \nwhich studies a class of bifurcat
ions of moduli spaces of embedded \npseudo-holomorphic curves in symplect
ic Calabi-Yau 3-folds and their \nassociated obstruction bundles. As an a
pplication\, we are able to give \na direct definition of the Gopakumar-V
afa invariant in a special case.\n\nTalk 2: Lattice formulas for rational
SFT capacities of toric domain\n\nAbstract: Siegel has recently defined
‘higher’ symplectic capacities using rational SFT that obstruct symple
ctic embeddings and behave well with respect to stabilisation. I will repo
rt on joint work with Julian Chaidez that relates these capacities to alge
bro-geometric invariants\, which leads to computable\, combinatorial formu
las for many convex toric domains.\n\nTalk 3: Reeb flows transverse to fol
iations\n\nAbstract: Eliashberg and Thurston showed that $C^2$ taut foliat
ions on 3-manifolds can be approximated by tight contact structures. I wil
l explain a new approach to this theorem which allows one to control the r
esulting Reeb flow and hence produce many hypertight contact structures. A
long the way\, I will explain how harmonic transverse measures may be used
to understand the holonomy of foliations.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/56/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Felix Schlenk (UniNE)
DTSTART:20210702T131500Z
DTEND:20210702T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/57
DESCRIPTION:Title: Symplectically knotted cubes\nby Felix Schlenk (UniNE) as part o
f Symplectic zoominar\n\n\nAbstract\nWhile by a result of McDuff the space
of symplectic embeddings of a closed 4-ball into an open 4-ball is connec
ted\, the situation for embeddings of cubes $C^4=D^2 \\times D^2$ is very
different. For instance\, for the open ball $B^4$ of capacity 1\, there ex
ists an explicit decreasing sequence $c_1\,c_2\,\\ldots \\to 1/3$ such tha
t for $c < c_k$ there are at least k symplectic embeddings of the closed c
ube $C^4(c)$ of capacity c into $B^4$ that are not isotopic. Furthermore\,
there are infinitely many non-isotopic symplectic embeddings of $C^4(1/3)
$ into $B^4$.\n\nA similar result holds for several other targets\, like t
he open 4-cube\, the complex projective plane\, the product of two equal 2
-spheres\, or a monotone product of such manifolds and any closed monotone
toric symplectic manifold. \n\nThe proof uses exotic Lagrangian tori. \n\
nThis is joint work with Joé Brendel and Grisha Mikhalkin.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/57/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jean-Philippe Chassé (UdeM)/ Leo Digiosia (Rice)/ Rima Chatterjee
(Cologne)
DTSTART:20211008T131500Z
DTEND:20211008T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/58
DESCRIPTION:Title: Three 20 min research talks\nby Jean-Philippe Chassé (UdeM)/ Le
o Digiosia (Rice)/ Rima Chatterjee (Cologne) as part of Symplectic zoomina
r\n\n\nAbstract\nJean-Philippe Chassé (UdeM)\n\nTitle: Convergence and Ri
emannian bounds on Lagrangian submanifolds\n\nAbstract: Recent years have
seen the appearance of a plethora of possible metrics on spaces of Lagrang
ian submanifolds. Indeed\, on top of the better-known Lagrangian Hofer met
ric and spectral norm\, Biran\, Cornea\, and Shelukhin have constructed fa
milies of so-called weighted fragmentation metrics on these spaces. I will
explain how — under the presence of bounds coming from Riemannian geome
try — all these metrics behave well with respect to the set-theoretic Ha
usdorff metric.\n\nLeo Digiosia (Rice)\n\nTitle: Cylindrical contact homol
ogy of links of simple singularities\nAbstract: In this talk we consider t
he links of simple singularities\, which are contactomoprhic to $S^3/G$ fo
r finite subgroups $G$ of $SU(2\,\\mathbb C)$. We explain how to compute t
he cylindrical contact homology of $S^3/G$ by means of perturbing the cano
nical contact form by a Morse function that is invariant under the corresp
onding rotation subgroup. We prove that the ranks are given in terms of th
e number of conjugacy classes of $G$\, demonstrating a form of the McKay c
orrespondence. We also explain how our computation realizes the Seifert fi
ber structure of these links.\n\nRima Chatterjee (Cologne)\n\nTitle: Cabli
ng of knots in overtwisted contact manifolds\nAbstract: Knots associated t
o overtwisted manifolds are less explored. There are two types of knots in
an overtwisted manifold – loose and non-loose. Non-loose knots are knot
s with tight complements whereas loose knots have overtwisted complements.
While we understand loose knots\, non-loose knots remain a mystery. The c
lassification and structure problems of these knots vary greatly compared
to the knots in tight manifolds. Especially we are interested in how satel
lite operations on a knot in overtwisted manifold changes the geometric pr
operty of the knot. In this talk\, I will discuss under what conditions ca
bling operation on a non-loose knot preserves non-looseness. This is a joi
nt work with Etnyre\, Min and Mukherjee.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/58/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Umberto Hryniewicz (RWTH Aachen)
DTSTART:20211015T131500Z
DTEND:20211015T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/59
DESCRIPTION:Title: Results on abundance of global surfaces of section\nby Umberto H
ryniewicz (RWTH Aachen) as part of Symplectic zoominar\n\n\nAbstract\nOne
might ask if global surfaces of section (GSS) for Reeb flows in dimension
3 are abundant in two different senses. One might ask if GSS are abundant
for a given Reeb flow\, or if Reeb flows carrying some GSS are abundant in
the set of all Reeb flows. In this talk\, answers to these two questions
in specific contexts will be presented. First\, I would like to discuss a
result\, obtained in collaboration with Florio\, stating that there are ex
plicit sets of Reeb flows on $S^3$ which are right-handed in the sense of
Ghys\; in particular\, for such a flow all finite (non-empty) collections
of periodic orbits span a GSS. Then\, I would like to discuss genericity r
esults\, obtained in collaboration with Colin\, Dehornoy and Rechtman\, fo
r Reeb flows carrying a GSS\; as a particular case of such results\, we pr
ove that a $C^\\infty$-generic Reeb flow on the tight 3-sphere carries a G
SS.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/59/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yakov Eliashberg (Standford)
DTSTART:20211022T131500Z
DTEND:20211022T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/60
DESCRIPTION:by Yakov Eliashberg (Standford) as part of Symplectic zoominar
\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/SympZoominar/60/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yaniv Ganor (Technion)
DTSTART:20211029T131500Z
DTEND:20211029T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/61
DESCRIPTION:Title: Big fiber theorems and ideal-valued measures in symplectic topology<
/a>\nby Yaniv Ganor (Technion) as part of Symplectic zoominar\n\n\nAbstrac
t\nIn various areas of mathematics there exist "big fiber theorems"\, thes
e are theorems of the following type: "For any map in a certain class\, th
ere exists a 'big' fiber"\, where the class of maps and the notion of size
changes from case to case.\n\nWe will discuss three examples of such theo
rems\, coming from combinatorics\, topology and symplectic topology from a
unified viewpoint provided by Gromov's notion of ideal-valued measures.\n
\nWe adapt the latter notion to the realm of symplectic topology\, using a
n enhancement of Varolgunes’ relative symplectic cohomology to include c
ohomology of pairs. This allows us to prove symplectic analogues for the f
irst two theorems\, yielding new symplectic rigidity results.\n\nNecessary
preliminaries will be explained.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/61/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rohil Prasad (Princeton)/ Alex Pieloch (Columbia)/ Chi Hong Chow (
CUHK)
DTSTART:20211105T131500Z
DTEND:20211105T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/62
DESCRIPTION:Title: Three 20 min research talks\nby Rohil Prasad (Princeton)/ Alex P
ieloch (Columbia)/ Chi Hong Chow (CUHK) as part of Symplectic zoominar\n\n
Abstract: TBA\n
LOCATION:https://researchseminars.org/talk/SympZoominar/62/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fabio Gironella (HU Berlin)
DTSTART:20211119T141500Z
DTEND:20211119T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/63
DESCRIPTION:Title: Exact orbifold fillings of contact manifolds\nby Fabio Gironella
(HU Berlin) as part of Symplectic zoominar\n\n\nAbstract\nThe topic of th
e talk will be Floer theories on exact symplectic orbifolds with smooth co
ntact boundary. More precisely\, I will first describe the construction\,
which only uses classical transversality techniques\, of a symplectic coho
mology group on such symplectic orbifolds. Then\, I will give some geometr
ical applications\, such as restrictions on possible singularities of exac
t symplectic fillings of some particular contact manifolds\, and the exist
ence\, in any odd dimension at least 5\, of a pair of contact manifolds wi
th no exact symplectic (smooth) cobordisms in either direction. This is jo
int work with Zhengyi Zhou.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/63/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Urs Frauenfelder (Augsburg)
DTSTART:20211210T141500Z
DTEND:20211210T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/64
DESCRIPTION:Title: GIT quotients and Symplectic data analysis\nby Urs Frauenfelder
(Augsburg) as part of Symplectic zoominar\n\n\nAbstract\nThis is joint wor
k with Agustin Moreno and Dayung Koh. The restricted three-body problem is
invariant under various antisymplectic involutions. These real structures
give rise to the notion of symmetric periodic orbits which simultaneously
have a closed string interpretation namely as a\nperiodic orbit as well a
s an open string interpretation as Hamiltonian chords. This makes the bifu
rcation analysis of symmetric periodic orbits very intriguing since under
bifurcations two local Floer homologies are invariant\, the periodic one a
s well as the Lagrangian one. In this talk we explain how methods from sym
metric space theory can help to extract efficiently datas from reduced mon
odromy matrices of periodic orbits helping to analyse the possible bifurca
tion patterns.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/64/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mohammed Abouzaid (Columbia)
DTSTART:20211126T141500Z
DTEND:20211126T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/65
DESCRIPTION:Title: Complex cobordism and Hamiltonian fibrations\nby Mohammed Abouza
id (Columbia) as part of Symplectic zoominar\n\n\nAbstract\nI will discuss
joint work with McLean and Smith\, lifting the results of Seidel\, Lalond
e\, McDuff\, and Polterovich concerning the topology of Hamiltonian fibrat
ions over the 2-sphere from rational cohomology to complex cobordism. In a
ddition to the use of Morava K-theory (as in the recent work with Blumberg
on the Arnold Conjecture)\, the essential new ingredient is the construct
ion of global Kuranishi charts for genus 0 pseudo-holomorphic curves\; i.e
. their realisation as quotients of zero loci of sections of equivariant v
ector bundles on manifolds.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/65/
END:VEVENT
BEGIN:VEVENT
SUMMARY:three short research talks. (Wenyuan Li (Northwestern)/Jakob Hedic
ke (Bochum)/Johan Asplund (Uppsala))
DTSTART:20211217T141500Z
DTEND:20211217T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/66
DESCRIPTION:by three short research talks. (Wenyuan Li (Northwestern)/Jako
b Hedicke (Bochum)/Johan Asplund (Uppsala)) as part of Symplectic zoominar
\n\n\nAbstract\nWenyuan Li (Northwestern)\nTitle: Estimating Reeb chords u
sing microlocal sheaf theory\n\nAbstract: We show that\, for closed Legend
rians in 1-jet bundles\, when there is a sheaf with singular support on th
e Legendrian\, then (1) its self Reeb chords are bounded from below by hal
f the sum of Betti numbers\, and (2) the Reeb chords between itself and it
s Hamiltonian push off is bounded from below by Betti numbers when the C^0
-norm of the Hamiltonian is small. I will show how to visualize Reeb chord
s/Lagrangian intersections in sheaf theory\, and then explain the duality
exact triangle and the persistence structure used in the proof. If time pe
rmits\, I will state a conjecture on the relative Calabi-Yau structure tha
t arises from the duality exact triangle.\n\nJakob Hedicke (Bochum)\nTitle
: Lorentzian distance functions on the group of contactomorphisms\n\nAbstr
act: The notion of positive (non-negative) contact isotopy\, defined by El
iashberg and Polterovich\, leads to two relations on the group of contacto
morphisms. These relations resemble the causal relations of a Lorentzian m
anifold. In this talk we will introduce a class of Lorentzian distance fun
ctions on the group of contactomorphisms\, that are compatible with these
relations.\nThe Lorentzian distance functions turn out to be continuous wi
th respect to the Hofer-norm of a contactomorphism defined by Shelukhin.\n
\nJohan Asplund (Uppsala)\nTitle: Simplicial descent for Chekanov-Eliashbe
rg dg-algebras\n\nAbstract: In this talk we introduce a type of surgery de
composition of Weinstein manifolds we call simplicial decompositions. We w
ill discuss the result that the Chekanov-Eliashberg dg-algebra of the atta
ching spheres of a Weinstein manifold satisfies a descent (cosheaf) proper
ty with respect to a simplicial decomposition. Simplicial decompositions g
eneralize the notion of Weinstein connected sum and there is in fact a one
-to-one correspondence (up to Weinstein homotopy) between simplicial decom
positions and so-called good sectorial covers. The motivation behind these
results is the sectorial descent result for wrapped Fukaya categories by
Ganatra-Pardon-Shende.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/66/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Sullivan (UMass Amherst)
DTSTART:20220114T141500Z
DTEND:20220114T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/67
DESCRIPTION:Title: Quantitative Legendrian geometry\nby Michael Sullivan (UMass Amh
erst) as part of Symplectic zoominar\n\n\nAbstract\nI will discuss some qu
antitative aspects for Legendrians in a (more or less) general contact man
ifold. These include lower bounds on the number of Reeb chords between a L
egendrian and its contact Hamiltonian image\, the non-degeneracy of the Ch
ekanov/Hofer/Shelukhin Legendrian metric\, and some 3-dimensional non-sque
ezing results. The main tool is the barcode of a relative Rabinowitz Floer
theory. This is joint work with Georgios Dimitroglou Rizell.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/67/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ely Kerman (UIUC)
DTSTART:20220211T141500Z
DTEND:20220211T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/68
DESCRIPTION:Title: On symplectic capacities and their blind spots\nby Ely Kerman (U
IUC) as part of Symplectic zoominar\n\n\nAbstract\nIn this talk I will dis
cuss a joint project with Yuanpu Liang in which we establish several prope
rties of the sequence of symplectic capacities defined by Gutt and Hutchin
gs for star-shaped domains using $S^1$-equivariant symplectic homology. Am
ong the results discussed will be the fact that\, unlike the first of thes
e capacities\, the others all fail to satisfy the symplectic version of th
e Brunn Minkowski established by Artstein-Avidan and Ostrover. We also sho
w that the Gutt-Hutchings capacities\, together with the volume\, do not c
onstitute a complete set of symplectic invariants even for convex bodies w
ith smooth boundary. The examples constructed to prove these results are n
ot exotic. They are convex and concave toric domains. The main new tool us
ed is a significant simplification of the formulae of Gutt and Hutchings f
or the capacities of such domains\, that holds under an additional symmetr
y assumption. This allows us to compute the capacities in new examples and
to identify and exploit blind spots that they sometimes share.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/68/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dustin Connery-Grigg (UdeM)/Pazit Haim-Kislev (Tel Aviv)/ Thibaut
Mazuir (Paris)
DTSTART:20220128T141500Z
DTEND:20220128T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/69
DESCRIPTION:Title: Three 20 min research talks\nby Dustin Connery-Grigg (UdeM)/Pazi
t Haim-Kislev (Tel Aviv)/ Thibaut Mazuir (Paris) as part of Symplectic zoo
minar\n\n\nAbstract\n$\\textbf{Dustin Connery-Grigg (UdeM)}$\n\nTitle: Geo
metry and topology of Hamiltonian Floer complexes in low-dimension\n\nIn t
his talk\, I will present two results relating the qualitative dynamics of
non-degenerate Hamiltonian isotopies on surfaces to the structure of thei
r Floer complexes. The first will be a topological characterization of tho
se Floer chains which represent the fundamental class in $CF_*(H\,J)$ and
which moreover lie in the image of some chain-level PSS map. This leads to
a novel symplectically bi-invariant norm on the group of Hamiltonian diff
eomorphisms\, which is both $C^0$-continuous and computable in terms of th
e underlying dynamics. The second result explains how certain portions of
the Hamiltonian Floer chain complex may be interpreted geometrically in te
rms of positively transverse singular foliations of the mapping torus\, wi
th singular leaves given by certain maximal collections of unlinked orbits
of the suspended flow. This construction may be seen to provide a Floer-t
heoretic construction of the `torsion-low’ foliations which appear in Le
Calvez’s theory of transverse foliations for surface homeomorphisms\, t
hereby establishing a bridge between the two theories.\n\n$\\textbf{Pazit
Haim-Kislev (Tel Aviv)}$\n\nTitle: Symplectic capacities of p-products\n\n
Abstract:\nA generalization of the cartesian product and the free sum of t
wo convex domains is the p-product operation. We investigate the behavior
of symplectic capacities with respect to symplectic p-products\, and we gi
ve applications related to Viterbo's volume-capacity conjecture and to p-d
ecompositions of the symplectic ball.\n\n$\\textbf{Thibaut Mazuir (Paris)}
$\n\nTitle: Higher algebra of A-infinity algebras in Morse theory\n\nIn th
is short talk\, I will introduce the notion of n-morphisms between two A-i
nfinity algebras. These higher morphisms are such that 0-morphisms corresp
ond to standard A-infinity morphisms and 1-morphisms correspond to A-infin
ity homotopies. Their combinatorics are then encoded by new families of po
lytopes\, which I call the n-multiplihedra and which generalize the standa
rd multiplihedra. Elaborating on works by Abouzaid and Mescher\, I will th
en explain how this higher algebra of A-infinity algebras naturally arises
in the context of Morse theory\, using moduli spaces of perturbed Morse g
radient trees\n
LOCATION:https://researchseminars.org/talk/SympZoominar/69/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marie-Claude Arnaud (Paris)
DTSTART:20220304T141500Z
DTEND:20220304T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/70
DESCRIPTION:Title: Invariant submanifolds for conformal dynamics\nby Marie-Claude A
rnaud (Paris) as part of Symplectic zoominar\n\n\nAbstract\nIn a work with
Jacques Fejoz\, we consider the conformal dynamics on a symplectic manifo
ld\, i.e. for which the symplectic form is transformed colinearly to itsel
f. In the non-symplectic case\, we study the problem of isotropy and uniqu
eness of invariant submanifolds. More precisely\, in this talk\, I will ex
plain a relation between topological entropy and isotropy and some uniquen
ess results.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/70/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Benoît Joly (Bochum)/Marco Castronovo (Columbia)/Agniva Roy (Geor
gia Tech)
DTSTART:20220325T131500Z
DTEND:20220325T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/71
DESCRIPTION:Title: Three 20 min research talks\nby Benoît Joly (Bochum)/Marco Cast
ronovo (Columbia)/Agniva Roy (Georgia Tech) as part of Symplectic zoominar
\n\n\nAbstract\nBenoît Joly (Bochum)\n\nTitle: Barcodes for Hamiltonian h
omeomorphisms of surfaces\n\nAbstract: In this talk\, we will study the Fl
oer Homology barcodes from a dynamical point of view. Our motivation comes
from recent results in symplectic topology using barcodes to obtain dynam
ical results. We will give the ideas of new constructions of barcodes for
Hamiltonian homeomorphisms of surfaces using Le Calvez's transverse foliat
ion theory. The strategy consists in copying the construction of the Floer
and Morse Homologies using dynamical tools like Le Calvez's foliations.\n
\nMarco Castronovo (Columbia)\n\nTitle: Polyhedral Liouville domains\n\nAb
stract: I will explain the construction of a new class of Liouville domain
s that live in a complex torus of arbitrary dimension\, whose boundary dyn
amics encodes information about the singularities of a toric compactificat
ion. The primary motivation for this work is to find a symplectic interpre
tation of some curious Laurent polynomials that appear in mirror symmetry
for Fano manifolds\; it also potentially opens a path to bound symplectic
capacities of polarized projective varieties from below.\n\nAgniva Roy (Ge
orgia Tech)\n\nTitle: Constructions of High Dimensional Legendrians and Is
otopies\n\nAbstract: I will talk about an ongoing project that explores th
e construction of high dimensional Legendrian spheres from supporting open
books and contact structures. The input is a Lagrangian disk filling of a
Legendrian knot in the binding. We try to understand the relationship bet
ween different constructions from the same input\, and suggest parallels\,
in the $S^{2n+1}$ case\, to a construction defined by Ekholm for $\\mathb
b R^{2n+1}$.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/71/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Susan Tolman (UIUC)
DTSTART:20220121T141500Z
DTEND:20220121T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/72
DESCRIPTION:Title: Beyond semitoric\nby Susan Tolman (UIUC) as part of Symplectic z
oominar\n\n\nAbstract\nA compact four dimensional completely integrable sy
stem $f:M\\rightarrow \\mathbb R^2$ is semitoric if it has only non-degene
rate singularities\, without hyperbolic blocks\, and one of the components
of generates a circle action. Semitoric systems have been extensively st
udied and have many nice properties: for example\, the preimages $f^{-1}(x
)$ are all connected. Unfortunately\, although there are many interesting
examples of semitoric systems\, the class has some limitation. For example
\, there are blowups of $S^2\\times S^2$ with Hamiltonian circle actions w
hich cannot be extended to semitoric systems. We expand the class of semit
oric systems by allowing certain degenerate singularities\, which we call
ephemeral singularities. We prove that the preimage $f^{-1}(x)$ is still c
onnected for this larger class. We hope that this class will be large enou
gh to include not only all compact four manifolds with Hamiltonian circle
actions\, but more generally all complexity one spaces. Based on joint wor
k with D. Sepe.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/72/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erman Cineli (Paris)
DTSTART:20220225T141500Z
DTEND:20220225T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/73
DESCRIPTION:Title: Topological entropy of Hamiltonian diffeomorphisms: a persistence ho
mology and Floer theory perspective\nby Erman Cineli (Paris) as part o
f Symplectic zoominar\n\n\nAbstract\nIn this talk I will introduce barcode
entropy and discuss its connections to topological entropy. The barcode e
ntropy is a Floer-theoretic invariant of a compactly supported Hamiltonian
diffeomorphism\, measuring\, roughly speaking\, the exponential growth un
der iterations of the number of not-too-short bars in the barcode of the F
loer complex. The topological entropy bounds from above the barcode entrop
y and\, conversely\, the barcode entropy is bounded from below by the topo
logical entropy of any hyperbolic locally maximal invariant set. As a cons
equence\, the two quantities are equal for Hamiltonian diffeomorphisms of
closed surfaces. The talk is based on a joint work with Viktor Ginzburg an
d Basak Gurel.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/73/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Umut Varolgunes (Boğaziçi)
DTSTART:20220218T141500Z
DTEND:20220218T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/74
DESCRIPTION:Title: Reynaud models from relative Floer theory\nby Umut Varolgunes (B
oğaziçi) as part of Symplectic zoominar\n\n\nAbstract\nI will start by e
xplaining the construction of a formal scheme starting with an integral af
fine manifold $Q$ equipped with a decomposition into Delzant polytopes. Th
is is a weaker and more elementary version of degenerations of abelian var
ieties originally constructed by Mumford. Then I will reinterpret this con
struction using the corresponding Lagrangian torus fibration $X\\rightarro
w Q$ and relative Floer theory of its canonical Lagrangian section. Finall
y\, I will discuss a conjectural generalization of the story to symplectic
degenerations of CY symplectic manifolds to normal crossing symplectic va
rieties whose components are log CY.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/74/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anton Izosimov (Arizona)
DTSTART:20220318T131500Z
DTEND:20220318T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/75
DESCRIPTION:by Anton Izosimov (Arizona) as part of Symplectic zoominar\n\n
Abstract: TBA\n
LOCATION:https://researchseminars.org/talk/SympZoominar/75/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yann Rollin (Nantes)
DTSTART:20220408T131500Z
DTEND:20220408T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/76
DESCRIPTION:Title: Lagrangians\, symplectomorphisms and zeroes of moment maps\nby Y
ann Rollin (Nantes) as part of Symplectic zoominar\n\n\nAbstract\nI will p
resent two constructions of Kähler manifolds\, endowed with Hamiltonian t
orus actions of infinite dimension. In the first example\, zeroes of the m
oment map are related to isotropic maps from a surface in $\\mathbb R^{2
n}$. In the second example\, which is actually a hyperKähler moment map\,
the zeroes are related to symplectic maps of the torus $\\mathbb T^4$. Th
e corresponding modified moment map flows have short-time existence. Polyh
edral analogues of these constructions can be used to investigate piecewis
e linear symplectic geometry.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/76/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kyler Siegel (USC)
DTSTART:20220415T131500Z
DTEND:20220415T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/77
DESCRIPTION:Title: Singular plane curves and stable nonsqueezing phenomena\nby Kyle
r Siegel (USC) as part of Symplectic zoominar\n\n\nAbstract\nThe existence
of rational plane curves of a given degree with prescribed singularities
is a subtle and active area in algebraic geometry. This problem turns out
to be closely related to difficult enumerative problems which arise in sym
plectic field theory\, which in turn play a central role in the theory of
high dimensional symplectic embeddings. In this talk I will discuss variou
s perspectives on these enumerative problems and present a new closed form
ula for relevant curve counts as a sum over decorated trees.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/77/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jack Smith (Cambridge)
DTSTART:20220422T131500Z
DTEND:20220422T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/78
DESCRIPTION:Title: From Floer to Hochschild via matrix factorisations\nby Jack Smit
h (Cambridge) as part of Symplectic zoominar\n\n\nAbstract\nAbstract:\nThe
Hochschild cohomology of the Floer algebra of a Lagrangian L\, and the as
sociated closed-open string map\, play an important role in the generation
criterion for the Fukaya category and in deformation theory approaches to
mirror symmetry. I will explain how\, in the monotone setting\, one can b
uild a map from the Floer cohomology of L with certain local coefficients
to (a version of) Hochschild cohomology. This map makes things much more g
eometric\, by transferring the algebraic complexity to the world of matrix
factorisations\, and is an isomorphism when L is a torus.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/78/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joel Fine (ULB)
DTSTART:20220429T131500Z
DTEND:20220429T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/79
DESCRIPTION:Title: nots\, minimal surfaces and J-holomorphic curves\nby Joel Fine (
ULB) as part of Symplectic zoominar\n\n\nAbstract\nLet $K$ be a knot or li
nk in the 3-sphere\, thought of as the ideal boundary of hyperbolic 4-spac
e\, \n$H^4$. The main theme of my talk is that it should be possible to co
unt minimal surfaces in $H^4$\nwhich fill $K$ and obtain a link invariant.
In other words\, the count doesn’t change under isotopies of $K$. When
one counts minimal disks\, this is a theorem. Unfortunately there is curre
ntly a gap in the proof for more complicated surfaces. I will explain “m
orally” why the result should be true and how I intend to fill the gap.
In fact\, this (currently conjectural) invariant is a kind of Gromov–Wit
ten invariant\, counting $J$-holomorphic curves in a certain symplectic 6-
manifold diffeomorphic to $S^4\\times H^4$. The symplectic structure becom
es singular at infinity\, in directions transverse to the $S^2$ fibres. Th
ese singularities mean that both the Fredholm and compactness theories hav
e fundamentally new features\, which I will describe. Finally\, there is a
whole class of infinite-volume symplectic 6-manifolds which have singular
ities modelled on the above situation. I will explain how it should be pos
sible to count $J$-holomorphic curves in these manifolds too\, and obtain
invariants for links in other 3-manifolds.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/79/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kevin Ruck (Augsburg)
DTSTART:20220506T131500Z
DTEND:20220506T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/80
DESCRIPTION:Title: Tate homology and powered flybys\nby Kevin Ruck (Augsburg) as pa
rt of Symplectic zoominar\n\n\nAbstract\nIn this talk I want to show that
in the planar circular restricted three body problem there are infinitely
many symmetric consecutive collision orbits for all energies below the fir
st critical energy value. By using the Levi-Civita regularization we will
be able to distinguish between two different orientations of these orbits
and prove the above claim for both of them separately. In the first part o
f the talk I want to explain the motivation behind this result\, especiall
y its connection to powered flybys. Afterwards I will introduce the main t
echnical tools\, one needs to prove the above statement\, like Lagrangian
Rabinowitz Floer Homology and its $G$-equivariant version. To be able to e
ffectively calculate this $G$-equivariant Lagrangian RFH\, we will relate
it to the Tate homology of the group $G$. With this tool at hand we will t
hen finally be able to prove that there are infinitely many consecutive co
llision orbits all facing in a specific direction.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/80/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Rudolf (Bochum)/Miguel Pereira (Augsburg)/Maksim Stokić (T
el Aviv)
DTSTART:20220527T131500Z
DTEND:20220527T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/81
DESCRIPTION:Title: Three 20min research talks\nby Daniel Rudolf (Bochum)/Miguel Per
eira (Augsburg)/Maksim Stokić (Tel Aviv) as part of Symplectic zoominar\n
\n\nAbstract\nDaniel Rudolf (Bochum)\n\nTitle: Viterbo‘s conjecture for
Lagrangian products in $\\mathbb R^4$\n\nAbstract:\nWe show that Viterbo
‘s conjecture (for the EHZ-capacity) for convex Lagrangian products in $
\\mathbb R^4$ holds for all Lagrangian products (any trapezoid in $\\mathb
b R^2$)x(any convex body in $\\mathbb R^2$). Moreover\, we classify all eq
uality cases of Viterbo’s conjecture within this configuration and show
which of them are symplectomorphic to a Euclidean ball. As by-product\, we
conclude sharp systolic Minkowski billiard inequalities for geometries wh
ich have trapezoids as unit balls. Finally\, we show that the flows associ
ated to the above mentioned equality cases (which are polytopes) satisfy a
weak Zoll property\, namely\, that every characteristic that is almost ev
erywhere away from lower-dimensional faces is closed\, runs over exactly 8
facets\, and minimizes the action.\n\n\nMiguel Pereira (Augsburg)\n\nTitl
e: The Lagrangian capacity of toric domains\n\nAbstract:\nIn this talk\, I
will state a conjecture giving a formula for the Lagrangian capacity of a
convex or concave toric domain. First\, I will explain a proof of the con
jecture in the case where the toric domain is convex and 4-dimensional\, u
sing the Gutt-Hutchings capacities as well as the McDuff-Siegel capacities
. Second\, I will explain a proof of the conjecture in full generality\, b
ut assuming the existence of a suitable virtual perturbation scheme which
defines the curve counts of linearized contact homology. This second proof
makes use of Siegel's higher symplectic capacities.\n\nMaksim Stokić (Te
l Aviv)\n\nTitle: $C^0$ contact geometry of isotropic submanifolds\n\nAbst
ract: A homeomorphism is called contact if it can be written as a $C^0$-li
mit of contactomorphisms. The contact version of Eliashberg-Gromov rigidit
y theorem states that smooth contact homeomorphisms preserve the contact s
tructure. A submanifold $L$ of a contact manifold $(Y\,\\xi)$ is called is
otropic if $\\xi\\vert_{TL}=0$. Isotropic submanifolds of maximal dimensio
n are called Legendrian\, otherwise we call them subcritical isotropic. In
this talk\, we will try to answer whether the isotropic property is prese
rved by contact homeomorphisms. It is expected that subcritical isotropic
submanifolds are flexible\, while we expect that Legendrians are rigid. We
show that subcritical isotropic curves are flexible\, and we give a new p
roof of the rigidity of Legendrians in dimension 3. Moreover\, we provide
a certain type of rigidity of Legendrians in higher dimensions.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/81/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Claude Viterbo (Paris)
DTSTART:20220520T131500Z
DTEND:20220520T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/82
DESCRIPTION:Title: Gamma-support\, gamma-coisotropic subsets and applications\nby C
laude Viterbo (Paris) as part of Symplectic zoominar\n\n\nAbstract\nTo an
element in the completion of the set of Lagrangians for the spectral dista
nce we associate a support. We show that such a support is $\\gamma$-coiso
tropic (a notion we shall define in the talk) and we shall give examples a
nd counterexamples of $\\gamma$-coisotorpic sets that can be (or cannot be
) $\\gamma$-supports. Finally we give some applications of these notions t
o singular support of sheaves (joint work with S. Guillermou) and dissipat
ive dynamics\, allowing us to extend the notion of Birkhoff attractor (joi
nt with V. Humilière).\n
LOCATION:https://researchseminars.org/talk/SympZoominar/82/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guangbo Xu (Texas A&M)
DTSTART:20220603T131500Z
DTEND:20220603T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/83
DESCRIPTION:Title: Integer-valued Gromov-Witten type invariants\nby Guangbo Xu (Tex
as A&M) as part of Symplectic zoominar\n\n\nAbstract\nAbstract:\n\nGromov-
Witten invariants for a general target are rational-valued but not necessa
rily integer-valued. This is due to the contribution of curves with nontri
vial automorphism groups. In 1997 Fukaya and Ono proposed a new method in
symplectic geometry which can count curves with a trivial automorphism gro
up. While ordinary Gromov-Witten invariants only use the orientation on th
e moduli spaces\, this integer-valued counts are supposed to also use the
(stable) complex structure on the moduli spaces. In this talk I will prese
nt the recent joint work with Shaoyun Bai in which we rigorously defined t
he integer-valued Gromov-Witten type invariants in genus zero for a symple
ctic manifold. This talk is based on the preprint https://arxiv.org/abs/22
01.02688.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/83/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yoel Groman (HUJI)
DTSTART:20220617T131500Z
DTEND:20220617T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/84
DESCRIPTION:Title: Locality and deformations in relative symplectic cohomology\nby
Yoel Groman (HUJI) as part of Symplectic zoominar\n\n\nAbstract\nRelative
symplectic cohomology is a Floer theoretic invariant associated with compa
ct subsets K of a closed or geometrically bounded symplectic manifold M. T
he motivation for studying it is that it is often possible to reduce the s
tudy of global Floer theory of M to the Floer theory of a handful of local
models covering M which one hopes will be easier to compute (Varolgunes
’ spectral sequence). As an example\, it is expected that at least in th
e setting of the Gross-Siebert program\, the mirror can be pieced together
from the relative symplectic cohomologies of neighborhoods of fibers of a
n SYZ fibration (singular or not). However\, even when K is a well underst
ood model\, such as the Weinstein neighborhood of a Lagrangian torus\, the
construction of relative SH is rather unwieldy. In particular\, it is not
entirely obvious how to relate the symplectic cohomology of K relative to
M with Floer theoretic invariants intrinsic to K. I will discuss a number
of results\, most of them in preparation\, which aim to alleviate this di
fficulty in the setting Lagrangian torus fibrations with singularities. Pa
rtly joint with U. Varolgunes.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/84/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Julian Chaidez (IAS/PU)
DTSTART:20220624T131500Z
DTEND:20220624T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/85
DESCRIPTION:Title: The Ruelle invariant and convexity in higher dimensions\nby Juli
an Chaidez (IAS/PU) as part of Symplectic zoominar\n\n\nAbstract\nI will e
xplain how to construct the Ruelle invariant of a symplectic cocycle over
an arbitrary measure preserving flow. I will provide examples and computat
ions in the case of Hamiltonian flows and Reeb flows (in particular\, for
toric domains). As an application of this invariant\, I will construct tor
ic examples of dynamically convex domains that are not symplectomorphic to
convex ones in any dimension.\n\nThis talk is based on joint works arXiv:
2012.12869 and arXiv:2205.00935 with Oliver Edtmair.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/85/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierre-Alexandre Mailhot/Nicole Magill/Ofir Karin (UdeM/Cornell/Te
l Aviv)
DTSTART:20221028T131500Z
DTEND:20221028T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/86
DESCRIPTION:Title: three 20 min research talks\nby Pierre-Alexandre Mailhot/Nicole
Magill/Ofir Karin (UdeM/Cornell/Tel Aviv) as part of Symplectic zoominar\n
\n\nAbstract\nPierre-Alexandre Mailhot (UdeM)\n\nTitle: The spectral diame
ter of a Liouville domains and its applications\n\nAbstract: The spectral
norm provides a lower bound to the Hofer norm. It is thus natural to ask w
hether the diameter of the spectral norm is finite or not. During this sho
rt talk\, I will give a sketch of the proof that\, in the case of Liouvill
e domains\, the spectral diameter is finite if and only if the symplectic
cohomology of the underlying manifold vanishes. With that relationship in
hand\, we will explore applications to symplecticaly aspherical symplectic
manifolds and Hofer geometry.\n\nNicole Magill (Cornell)\n\nTitle: A corr
espondence between obstructions and constructions for staircases in Hirzeb
ruch surfaces\n\nAbstract: The ellipsoidal embedding function of a symplec
tic four manifold M measures how much the symplectic form on M must be dil
ated in order for it to admit an embedded ellipsoid of some eccentricity.
It generalizes the Gromov width and ball packing numbers. In most cases\,
finitely many obstructions besides the volume determine the function. If t
here are infinitely many obstructions determining the function\, M is said
to have an infinite staircase. This talk will give a classification of wh
ich Hirzebruch surfaces have infinite staircases. We will focus on explain
ing the correspondence between the obstructions coming from exceptional cl
asses and the constructions from almost toric fibrations. We define a way
to mutate triples of exceptional classes to produce new triples of excepti
onal classes\, which corresponds to mutations in almost toric fibrations.
This is based on various joint work with Dusa McDuff\, Ana Rita Pires\, an
d Morgan Weiler.\n\nOfir Karin (Tel Aviv)\n\nTitle: Approximation of Gener
ating Function Barcode for HamiltonianDiffeomorphisms\n\nAbstract: Persist
ence modules and barcodes are used in symplectic topology to define new in
variants of Hamiltonian diffeomorphisms\, however methods that explicitly
calculate these barcodes are often unclear. In this talk I will define one
such invariant called the GF-barcode of compactly supported Hamiltonian d
iffeomorphisms of $\\mathbb R^{2n}$ by applying Morse theory to generating
functions quadratic at infinity associated to such Hamiltonian diffeomorp
hisms and provide an algorithm (i.e a finite sequence of explicit calculat
ion steps) that approximates it along with a few computation examples. Thi
s is joint work with Pazit Haim-Kislev.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/86/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ipsita Datta (IAS)
DTSTART:20221104T131500Z
DTEND:20221104T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/87
DESCRIPTION:by Ipsita Datta (IAS) as part of Symplectic zoominar\n\nAbstra
ct: TBA\n
LOCATION:https://researchseminars.org/talk/SympZoominar/87/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Roger Casals (UC Davis)
DTSTART:20221111T141500Z
DTEND:20221111T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/88
DESCRIPTION:by Roger Casals (UC Davis) as part of Symplectic zoominar\n\nA
bstract: TBA\n
LOCATION:https://researchseminars.org/talk/SympZoominar/88/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yash Deshmukh (Columbia)/Lea Kenigsberg (Columbia)/Thomas Massoni
(Princeton)
DTSTART:20221125T141500Z
DTEND:20221125T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/89
DESCRIPTION:Title: three 20 min research talks\nby Yash Deshmukh (Columbia)/Lea Ken
igsberg (Columbia)/Thomas Massoni (Princeton) as part of Symplectic zoomin
ar\n\n\nAbstract\nYash Deshmukh (Columbia)\n\nTitle: Moduli spaces of noda
l curves from homotopical algebra\n\nAbstract: I will discuss how the Deli
gne-Mumford compactification of curves arises from the uncompactified modu
li spaces of curves as a result of some algebraic operations related to (p
r)operadic structures on the moduli spaces. I will describe how a variatio
n of this naturally gives rise to another new partial compactification of
moduli spaces curves. Time permitting\, I will indicate how it is related
to secondary operations on symplectic cohomology and discuss some ongoing
work in this direction.\n\nLea Kenigsberg (Columbia)\n\nTitle: Coproduct s
tructures\, a tale of two outputs\n\nAbstract: I will motivate the study o
f coproducts and describe a new coproduct structure on the symplectic coho
mology of Liouville manifolds. Time permitting\, I will indicate how to co
mpute it in an example to show that it's not trivial. This is based on my
thesis work\, in progress.\n\nThomas Massoni (Princeton)\n\nTitle: Non-Wei
nstein Liouville domains and three-dimensional Anosov flows\n\nAbstract: W
einstein domains and their symplectic invariants have been extensively stu
died over the last 30 years. Little is known about non-Weinstein Liouville
domains\, whose first instance is due to McDuff. I will describe two key
examples of such domains in dimension four\, and then explain how they fit
into a general construction based on Anosov flows on three-manifolds. The
symplectic invariants of these “Anosov Liouville domains” constitute
new invariants of Anosov flows. The algebraic structure of their wrapped F
ukaya categories is in stark contrast with the Weinstein case.\n\nThis is
mostly based on joint work arXiv:2211.07453 with Kai Cieliebak\, Oleg Laza
rev and Agustin Moreno.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/89/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robert Cardona (ICMAT)
DTSTART:20221209T141500Z
DTEND:20221209T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/90
DESCRIPTION:Title: Periodic orbits and Birkhoff sections of stable Hamiltonian structur
es\nby Robert Cardona (ICMAT) as part of Symplectic zoominar\n\n\nAbst
ract\nAbstract:\n\nIn this talk\, we start by reviewing recent results on
the dynamics of Reeb vector fields defined by contact forms on three-dimen
sional manifolds\, and then introduce Reeb fields defined by stable Hamilt
onian structures. These are more general and arise\, for instance\, in sta
ble regular energy level sets of Hamiltonian systems. We give a characteri
zation of Reeb fields that are aperiodic or that have finitely many period
ic orbits (under a certain nondegeneracy assumption). Finally\, we give su
fficient conditions for the existence of an adapted broken book decomposit
ion or the existence of a Birkhoff section. This is joint work with A. Rec
htman.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/90/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shaoyun Bai (SCGP)
DTSTART:20230120T141500Z
DTEND:20230120T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/91
DESCRIPTION:Title: Arnold conjecture over integers\nby Shaoyun Bai (SCGP) as part o
f Symplectic zoominar\n\n\nAbstract\nWe show that for any closed symplecti
c manifold\, the number of 1-periodic orbits of any non-degenerate Hamilto
nian is bounded from below by a version of total Betti number over Z\, whi
ch takes account of torsions of all characteristics. The proof relies on a
n abstract perturbation scheme (FOP perturbations) which allows us to prod
uce integral pseudo-cycles from moduli space of J-holomorphic curves\, and
a geometric regularization scheme for moduli space of Hamiltonian Floer t
rajectories generalizing the recent work of Abouzaid-McLean-Smith. I will
survey these ideas and indicate potential future developments. This is joi
nt work with Guangbo Xu.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/91/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Semon Rezchikov (Princeton/IAS)
DTSTART:20230127T141500Z
DTEND:20230127T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/92
DESCRIPTION:Title: Hyperbolicity of periodic points of Hamiltonian maps\nby Semon R
ezchikov (Princeton/IAS) as part of Symplectic zoominar\n\n\nAbstract\nTit
le: Hyperbolicity of periodic points of Hamiltonian maps\n\nAbstract:\nThe
basic invariant of a fixed point of a Hamiltonian diffeomorphism\, beside
s its existence (which is implied by the proven Arnol'd Conjecture)\, is t
he number of eigenvalues of unit norm of the linearization of the map at t
he fixed point. When there are no such eigenvalues\, the fixed point is sa
id to be purely hyperbolic\, and has characteristically different local dy
namics from the contrasting partially elliptic case. In this talk\, I will
discuss how period doubling bifurcations can be used to make periodic poi
nts purely hyperbolic without appreciably changing Floer-theoretic invaria
nts. Via a limiting process one can approximate Hamiltonian diffeomorphism
s by hameomorphisms which behave as if they have only hyperbolic periodic
points. We will review the dynamical background for such constructions\, a
nd if time permits\, discuss upper and lower bounds on the growth rate of
periodic points of these hameomorphisms\n
LOCATION:https://researchseminars.org/talk/SympZoominar/92/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marcelo Alves (UAntwerp)
DTSTART:20221216T141500Z
DTEND:20221216T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/93
DESCRIPTION:Title: Hofer's geometry and braid stability\nby Marcelo Alves (UAntwerp
) as part of Symplectic zoominar\n\n\nAbstract\nThe Hofer’s metric $d_H$
is a remarkable bi-invariant metric on the group of Hamiltonian diffeomor
phisms of a symplectic manifold. In my talk\, I will explain a result\, ob
tained jointly with Matthias Meiwes\, which says that the braid type of a
set of periodic orbits of a Hamiltonian diffeomorphism on a closed surface
is stable under perturbations that are sufficiently small with respect to
Hofer’s metric. As a consequence of this we obtained that the topologic
al entropy\, seen as a function on the space of Hamiltonian diffeomorphism
s of a closed surface\, is lower semi-continuous with respect to the Hofer
metric $d_H$. \n\nIf time permits\, I will explain related questions for
Reeb flows on 3-manifolds and Hamiltonian diffeomorphisms on higher-dimen
sional symplectic manifolds\, and recent progress on these problems obtain
ed by myself\, Meiwes\, Abror Pirnapasov and Lucas Dahinden.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/93/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christian Lange (LMU München)
DTSTART:20230113T141500Z
DTEND:20230113T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/94
DESCRIPTION:Title: Orbifolds and systolic inequalities\nby Christian Lange (LMU Mü
nchen) as part of Symplectic zoominar\n\n\nAbstract\nIn this talk\, I will
first discuss some instances in which orbifolds occur in geometry and dyn
amics\, in particular\, in the context of billiards and systolic inequalit
ies. Then I will present topological conditions for an orbifold to be a ma
nifold together with applications to foliations and to Besse geodesic and
Reeb flows (joint work with Manuel Amann\, Marc Kegel and Marco Radeschi).
Here a flow is called Besse if all its orbits are periodic. Such flows ar
e related to systolic inequalities. Namely\, I will explain a characteriza
tion of contact forms on 3-manifolds whose Reeb flow is Besse as local max
imizers of certain ''higher" systolic ratios\, and mention other related s
ystolic-like inequalities (joint work with Alberto Abbondandolo\, Marco Ma
zzucchelli and Tobias Soethe).\n
LOCATION:https://researchseminars.org/talk/SympZoominar/94/
END:VEVENT
BEGIN:VEVENT
SUMMARY:David White (NSCU)/Kai Hugtenburg (Edinburgh)/Patricia Dietzsch (E
TH)
DTSTART:20230210T141500Z
DTEND:20230210T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/95
DESCRIPTION:Title: Three 20min research talks\nby David White (NSCU)/Kai Hugtenburg
(Edinburgh)/Patricia Dietzsch (ETH) as part of Symplectic zoominar\n\n\nA
bstract\nDavid White (NSCU)\n\nTitle: Symplectic instanton homology of kno
ts and links in 3-manifolds\n\nAbstract: Powerful homology invariants of k
nots in 3-manifolds have emerged from both the gauge-theoretic and the sym
plectic kinds of Floer theory: on the gauge-theoretic side is the instanto
n knot homology of Kronheimer-Mrowka\, and on the symplectic the (Heegaard
) knot Floer homology developed independently by Ozsváth-Szabó and by Ra
smussen. These theories are conjecturally equivalent\, but a precise conne
ction between the gauge-theoretic and symplectic sides here remains to be
understood. We describe a construction designed to translate singular inst
anton knot homology more directly into the symplectic domain\, a so-called
symplectic instanton knot homology: We define a Lagrangian Floer homology
invariant of knots and links which extends a 3-manifold invariant develop
ed by H. Horton. The construction proceeds by using specialized Heegaard d
iagrams to parametrize an intersection of traceless $SU(2)$ character vari
eties. The latter is in fact an intersection of Lagrangians in a symplecti
c manifold\, giving rise to a Lagrangian Floer homology. We discuss its re
lation to singular instanton knot homology\, as well as the formal propert
ies which this suggests and methods to prove these properties.\n\nKai Hugt
enburg (Edinburgh)\n\nTitle: Open Gromov-Witten invariants from the Fukaya
category\n\nAbstract: Enumerative mirror symmetry is a correspondence bet
ween closed Gromov-Witten invariants of a space $X$\, and period integrals
of a family $Y$. One of the predictions of Homological Mirror Symmetry is
that the closed Gromov-Witten invariants can be obtained from the Fukaya
category. For Calabi-Yau varieties this has been demonstrated by Ganatra-P
erutz-Sheridan. Recently\, enumerative mirror symmetry has been extended\,
by including open Gromov-Witten invariants and extended period integrals.
It is natural to expect that open Gromov-Witten invariants can be obtaine
d from the Fukaya category. In this talk I will outline a construction whi
ch will demonstrate this for certain open Gromov-Witten invariants.\n\nPat
ricia Dietzsch (ETH)\n\nTitle: Lagrangian Hofer metric and barcodes\n\nAbs
tract: Filtered Lagrangian Floer homology gives rise to a barcode associat
ed to a pair of Lagrangians. It is well-known that the lengths of the fini
te bars and the spectral distance are lower bounds of the Lagrangian Hofer
metric. In this talk we are interested in a reverse inequality.\nI will e
xplain an upper bound of the Lagrangian Hofer distance between equators in
the cylinder in terms of a weighted sum of the lengths of the finite bars
and the spectral distance.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/95/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yusuke Kawamoto (ETH)
DTSTART:20230217T141500Z
DTEND:20230217T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/96
DESCRIPTION:Title: Hypersurface singularities and spectral invariants\nby Yusuke Ka
wamoto (ETH) as part of Symplectic zoominar\n\n\nAbstract\nTitle: Hypersur
face singularities and spectral invariants \n\nAbstract: We discuss the re
lation between hypersurface singularities (e.g. ADE\, $\\tilde E_6$\, $\\t
ilde E_7$\, $\\tilde E_8$\, etc) and spectral invariants\, which are sympl
ectic invariants coming from Floer theory.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/96/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Noah Porcelli (Imperial College London)
DTSTART:20230224T141500Z
DTEND:20230224T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/97
DESCRIPTION:Title: Floer theory and framed cobordisms between exact Lagrangian submanif
olds\nby Noah Porcelli (Imperial College London) as part of Symplectic
zoominar\n\n\nAbstract\nTitle: Floer theory and framed cobordisms between
exact Lagrangian submanifolds\n\nAbstract:\nLagrangian Floer theory is a
useful tool for studying the structure of the homology of Lagrangian subma
nifolds. In some cases\, it can be used to detect more- we show it can det
ect the framed bordism class of certain Lagrangians and in particular reco
ver a result of Abouzaid-Alvarez-Gavela-Courte-Kragh about smooth structur
es on Lagrangians in cotangent bundles of spheres. The main technical tool
we use is Large's recent construction of a stable-homotopical enrichment
of Lagrangian Floer theory.\nThis is based on joint work-in-progress with
Ivan Smith.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/97/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marco Mazzucchelli (ENS-Lyon)
DTSTART:20230303T141500Z
DTEND:20230303T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/98
DESCRIPTION:by Marco Mazzucchelli (ENS-Lyon) as part of Symplectic zoomina
r\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/SympZoominar/98/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Georgios Dimitroglou Rizell (Uppsala)
DTSTART:20230331T131500Z
DTEND:20230331T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/99
DESCRIPTION:Title: A relative Calabi-Yau structure for Legendrian contact homology\
nby Georgios Dimitroglou Rizell (Uppsala) as part of Symplectic zoominar\n
\n\nAbstract\nThe duality long exact sequence relates linearised Legendria
n contact homology and cohomology and was originally constructed by Sablof
f in the case of Legendrian knots. We show how the duality long exact sequ
ence can be generalised to a relative Calabi-Yau structure\, as defined by
Brav and Dyckerhoff. We also discuss the generalised notion of the fundam
ental class and give applications. The structure is established through th
e acyclicity of a version of Rabinowitz Floer Homology for Legendrian subm
anifolds with coefficiens in the Chekanov-Eliashberg DGA. This is joint wo
rk in progress with Legout.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/99/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yaron Ostrover (TAU)
DTSTART:20230324T131500Z
DTEND:20230324T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/100
DESCRIPTION:Title: Symplectic Barriers\nby Yaron Ostrover (TAU) as part of Symplec
tic zoominar\n\n\nAbstract\nIn this talk we discuss the existence of a new
type of rigidity of symplectic embeddings coming from obligatory intersec
tions with symplectic planes. This is based on a joint work with P. Haim-K
islev and R. Hind.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/100/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuhan Sun (Rutgers)
DTSTART:20230317T131500Z
DTEND:20230317T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/101
DESCRIPTION:Title: Heaviness and relative symplectic cohomology\nby Yuhan Sun (Rut
gers) as part of Symplectic zoominar\n\n\nAbstract\nFor a compact subset $
K$ of a closed symplectic manifold\, Entov-Polterovich introduced the noti
on of (super)heaviness\, which reveals surprising symplectic rigidity. Whe
n $K$ is a Lagrangian submanifold\, there is a well-established criterion
for its heaviness\, by using closed-open maps. We will discuss an equivale
nce between the heaviness and the non-vanishing of the relative symplectic
cohomology\, for a general compact set $K$. Joint with C.Y.Mak and U.Varo
lgunes.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/101/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Brayan Ferreira (IMPA)/Roman Krutowski (UCLA)/Amanda Hirschi (Camb
ridge)
DTSTART:20230421T131500Z
DTEND:20230421T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/102
DESCRIPTION:Title: Three 20min research talks\nby Brayan Ferreira (IMPA)/Roman Kru
towski (UCLA)/Amanda Hirschi (Cambridge) as part of Symplectic zoominar\n\
n\nAbstract\nBrayan Ferreira (IMPA)\n\nTitle: Gromov width of disk cotange
nt bundles of spheres of revolution\n\nAbstract: The question of whether a
Symplectic manifold embeds into another is central in Symplectic topology
. Since Gromov nonsqueezing theorem\, it is known that this is a different
problem from volume preserving embeddings. Symplectic capacities are inva
riants that give obstructions to symplectic embeddings. The first example
of a symplectic capacity is given by the Gromov width\, which measures the
biggest ball that can be symplectically embedded into a symplectic manifo
ld. In this talk\, we are going to discuss the Gromov width for the exampl
e of disk cotangent bundles of spheres of revolution. The main results are
for the Zoll cases and for the case of ellipsoids of revolution. The main
tools are action angle coordinates (Arnold-Liouville theorem) and ECH cap
acities. This is joint work with Alejandro Vicente and Vinicius Ramos.\n\n
Roman Krutowski (UCLA)\n\nTitle: Maslov index formula in Heegaard Floer ho
mology\n\nAbstract: The formula introduced by Robert Lipshitz for Heegaard
Floer homology is now one of the basic tools for those working with HF ho
mology. The convenience of the formula is due to its combinatorial nature.
In the talk\, we will discuss the recent combinatorial proof of this form
ula.\n\nAmanda Hirschi (Cambridge)\n\nTitle: Global Kuranishi charts for G
romov-Witten moduli spaces and a product formula\n\nAbstract: I will descr
ibe the construction of a global Kuranishi chart for moduli spaces of stab
le pseudoholomorphic maps of any genus and explain how this allows for a s
traightforward definition of GW invariants. For those not convinced of its
usefulness\, I will sketch how this can be used to obtain a formula for t
he GW invariants of a product. This is joint work with Mohan Swaminathan.\
n
LOCATION:https://researchseminars.org/talk/SympZoominar/102/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Entov (Technion)
DTSTART:20230505T131500Z
DTEND:20230505T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/103
DESCRIPTION:Title: Kahler-type and tame embeddings of balls into symplectic manifolds<
/a>\nby Michael Entov (Technion) as part of Symplectic zoominar\n\n\nAbstr
act\nA symplectic embedding of a disjoint union of domains into a symplect
ic manifold M is said to be of Kahler type (respectively tame) if it is ho
lomorphic with respect to some (not a priori fixed) integrable complex str
ucture on M which is compatible with (respectively tamed by) the symplecti
c form. I'll discuss when Kahler-type embeddings of disjoint unions of bal
ls into a closed symplectic manifold exist and when two such embeddings ca
n be mapped into each other by a symplectomorphism. If time permits\, I'll
also discuss the existence of tame embeddings of balls\, polydisks and pa
rallelepipeds into tori and K3 surfaces.\n\nThis is a joint work with M.Ve
rbitsky.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/103/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Bialy (TAU)
DTSTART:20230428T131500Z
DTEND:20230428T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/104
DESCRIPTION:Title: Locally maximizing orbits and rigidity for convex billiards\nby
Michael Bialy (TAU) as part of Symplectic zoominar\n\n\nAbstract\nGiven a
convex billiard table\, one defines the set $\\mathcal M$ swept by locall
y maximizing orbits for convex billiard. This is a remarkable closed invar
iant set which does not depend (under certain assumptions) on the choice o
f the generating function. I shall show how to get sharp estimates on the
measure of this set\, recovering as a corollary rigidity result for centra
lly symmetric convex billiards. Also I shall discuss rigidity of Mather $\
\beta$ function.\nBased on joint works with Andrey E. Mironov\, Sergei Tab
achnikov and Daniel Tsodikovich.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/104/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierrick Bousseau (UGA)
DTSTART:20230414T131500Z
DTEND:20230414T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/105
DESCRIPTION:Title: Quivers\, flow trees and log curves\nby Pierrick Bousseau (UGA)
as part of Symplectic zoominar\n\n\nAbstract\nDonaldson-Thomas (DT) invar
iants of a quiver with potential can be expressed in terms of simpler attr
actor DT invariants by a universal formula. The coefficients in this formu
la are calculated combinatorially using attractor flow trees. In joint wor
k with Arguz (arXiv:2302.02068)\, we prove that these coefficients are gen
us 0 log Gromov-Witten invariants of d-dimensional toric varieties\, where
d is the number of vertices of the quiver. This result follows from a log
-tropical correspondence theorem which relates (d-2)-dimensional families
of tropical curves obtained as universal deformations of attractor flow tr
ees\, and rational log curves in toric varieties.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/105/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vinicius Ramos (IMPA)
DTSTART:20230519T131500Z
DTEND:20230519T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/106
DESCRIPTION:Title: The Toda lattice\, billiards and the Viterbo conjecture\nby Vin
icius Ramos (IMPA) as part of Symplectic zoominar\n\n\nAbstract\nAbstract:
\nThe Toda lattice is one of the earliest examples of non-linear completel
y integrable systems. Under a large deformation\, the Hamiltonian flow can
be seen to converge to a billiard flow in a simplex. In the 1970s\, actio
n-angle coordinates were computed for the standard system using a non-cano
nical transformation and some spectral theory. In this talk\, I will expla
in how to adapt these coordinates to the situation of a large deformation
and how this leads to new examples of symplectomorphisms of Lagrangian pro
ducts with toric domains. In particular\, we find a sequence of Lagrangian
products whose symplectic systolic ratio is one and we prove that they ar
e symplectic balls. This is joint work with Y. Ostrover and D. Sepe.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/106/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joé Brendel (TAU)
DTSTART:20230526T131500Z
DTEND:20230526T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/107
DESCRIPTION:Title: Local exotic tori\nby Joé Brendel (TAU) as part of Symplectic
zoominar\n\n\nAbstract\nWe discuss exotic Lagrangian tori in dimension gre
ater than or equal to six. First\, we give another approach to Auroux's re
sult that there are infinitely many tori in $\\mathbb R^6$ which are disti
nct up to symplectomorphisms of the ambient space. The exotic tori we cons
truct naturally appear in a two-parameter family\, some of which are no
t monotone. Small enough tori in this family can be embedded by a Darboux
chart into any tame symplectic manifold and one can show that they are sti
ll distinct up to symplectomorphisms.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/107/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Russell Avdek (Paris)
DTSTART:20231020T131500Z
DTEND:20231020T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/108
DESCRIPTION:Title: Convex hypersurfaces\, contact homology\, and relative GW\nby R
ussell Avdek (Paris) as part of Symplectic zoominar\n\n\nAbstract\nWhile c
onvex hypersurfaces are well understood in 3d contact topology\, we are ju
st starting to explore their basic properties in high dimensions. I will d
escribe how to compute contact homologies (CH) of their neighborhoods\, wh
ich can be used to infer tightness in any dimension. Then I’ll give a ge
neral construction of high-dimensional convex hypersurfaces in the style o
f Gompf’s fiber sum. For these convex hypersurfaces\, relative Gromov-Wi
tten can often compute CH in the style of Diogo-Lisi. We’ll work through
some interesting examples.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/108/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paul Seidel (MIT)
DTSTART:20231013T131500Z
DTEND:20231013T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/109
DESCRIPTION:Title: Symplectic cohomology relative to a smooth divisor\nby Paul Sei
del (MIT) as part of Symplectic zoominar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/SympZoominar/109/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lukas Nakamura (Uppsala)\; Habib Alizadeh (UdeM)\; Han Lou (UGA)
DTSTART:20231027T131500Z
DTEND:20231027T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/110
DESCRIPTION:Title: Three 20min research talks\nby Lukas Nakamura (Uppsala)\; Habib
Alizadeh (UdeM)\; Han Lou (UGA) as part of Symplectic zoominar\n\n\nAbstr
act\nI. Lukas Nakamura (Uppsala)\n\nTitle: A metric on the contactomorphis
m group of an orderable contact manifold\n\nAbstract: We discuss some prop
erties of a pseudo-metric on the contactomorphism group of a strict contac
t manifold M induced by the maximum/minimum of Hamiltonians. We show that
it is non-degenerate if and only if M is orderable and that its metric top
ology agrees with the interval topology introduced by Chernov and Nemirovs
ki. We also discuss analogous results on isotopy classes of Legendrian sub
manifolds and on universal covers. \n\n\nII. Habib Alizadeh (UdeM)\n\nTitl
e: Fragmentation in dimension four and its application to spectral estimat
ors\n\nAbstract: We show a new Hamiltonian fragmentation result for four-d
imensional symplectic polydisks. As an application to our result\, we prov
e -continuity of the spectral estimators defined by Polterovich and Sheluk
hin for polydisks. \n\n\nIII. Han Lou (UGA)\n\nTitle: On the Hofer Zehnder
conjecture for semipositive symplectic manifolds\n\nAbstract: Arnold conj
ecture says that the number of 1-periodic orbits of a Hamiltonian diffeomo
rphism is greater than or equal to the dimension of the Hamiltonian Floer
homology. In 1994\, Hofer and Zehnder conjectured that there are infinitel
y many periodic orbits if the equality doesn't hold. In this talk\, I will
show that the Hofer-Zehnder conjecture is true for semipositive symplecti
c manifolds with semisimple quantum homology. This is a joint work with Ma
rcelo Atallah.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/110/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ciprian Manolescu (Stanford)
DTSTART:20231117T141500Z
DTEND:20231117T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/111
DESCRIPTION:Title: A knot Floer stable homotopy type\nby Ciprian Manolescu (Stanfo
rd) as part of Symplectic zoominar\n\n\nAbstract\nGiven a grid diagram for
a knot or link K in the three-sphere\, we construct a spectrum whose homo
logy is the knot Floer homology of K. We conjecture that the homotopy type
of the spectrum is an invariant of K. Our construction does not use holom
orphic geometry\, but rather builds on the combinatorial definition of gri
d homology. We inductively define models for the moduli spaces of pseudo-h
olomorphic strips and disk bubbles\, and patch them together into a framed
flow category. The inductive step relies on the vanishing of an obstructi
on class that takes values in a complex of positive domains with partition
s. (This is joint work with Sucharit Sarkar.)\n
LOCATION:https://researchseminars.org/talk/SympZoominar/111/
END:VEVENT
BEGIN:VEVENT
SUMMARY:John Etnyre (Georgia Tech)
DTSTART:20231215T141500Z
DTEND:20231215T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/112
DESCRIPTION:Title: Symplectic embeddings of rational homology balls into projective sp
ace\nby John Etnyre (Georgia Tech) as part of Symplectic zoominar\n\n\
nAbstract\nI will discuss how to build small symplectic caps for contact m
anifolds as a step in building small closed symplectic 4-manifolds. As an
application of the construction\, I will give explicit handlebody descript
ions of symplectic embeddings of rational homology balls into \\(\\mathbb{
CP}^2\\). This is joint work with Hyunki Min\, Lisa Piccirillo\, and Agniv
a Roy.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/112/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oliver Edtmair (Berkeley)
DTSTART:20231103T131500Z
DTEND:20231103T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/113
DESCRIPTION:Title: The subleading asymptotics of symplectic Weyl laws\nby Oliver E
dtmair (Berkeley) as part of Symplectic zoominar\n\n\nAbstract\nSpectral i
nvariants defined via Embedded Contact Homology (ECH) or the closely relat
ed Periodic Floer Homology (PFH) satisfy a Weyl law: Asymptotically\, they
recover symplectic volume. This Weyl law has led to striking applications
in dynamics (smooth closing lemma) and \\(C^0\\) symplectic geometry (sim
plicity conjecture). In this talk\, I will report on work in progress conc
erning the subleading asymptotics of symplectic Weyl laws. I will explain
the connection to symplectic packing problems and the algebraic structure
of groups of Hamiltonian diffeomorphisms and homeomorphisms.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/113/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Julien Dardennes (Toulouse)\; Arnaud Maret (Paris)\; Luya Wang (St
anford)
DTSTART:20231208T141500Z
DTEND:20231208T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/114
DESCRIPTION:Title: Three 20min research talks\nby Julien Dardennes (Toulouse)\; Ar
naud Maret (Paris)\; Luya Wang (Stanford) as part of Symplectic zoominar\n
\n\nAbstract\n-----\n\nI. Julien Dardennes (Toulouse)\n\nTitle: The coarse
distance from dynamically convex to convex\n\nAbstract: Chaidez and Edtma
ir have recently found the first examples of dynamically convex domains in
$\\mathbb{R}^4$ that are not symplectomorphic to convex domains\, answeri
ng a long-standing open question.\nIn this talk\, we present new examples
of such domains without referring to Chaidez-Edtmair’s criterion. We als
o show that these domains are arbitrarily far from the set of symplectical
ly convex domains in $\\mathbb{R}^4$ with respect to the coarse symplectic
Banach-Mazur distance by using an explicit numerical criterion for symple
ctic non-convexity (joint work with J. Gutt\, V. Ramos and J. Zhang).\n\n-
----\n\nII. Arnaud Maret (Paris)\n\nTitle: Complex projective spaces via s
urface groups representations\n\nAbstract: My plan is to explain how compl
ex projective spaces can be identified with components of totally elliptic
representations of the fundamental group of a punctured sphere into \\(PS
L(2\,\\mathbb{R})\\). I will explain how this identification realizes the
pure mapping class group of the punctured sphere as a subgroup of the grou
p of Hamiltonian diffeomorphisms of the complex projective space. \n\n----
-\n\nIII. Luya Wang (Stanford)\n\nTitle: Deformation inequivalent symplect
ic structures and Donaldson's four-six question\n\nAbstract: Studying symp
lectic structures up to deformation equivalences is a fundamental question
in symplectic geometry. Donaldson asked: given two homeomorphic closed sy
mplectic four-manifolds\, are they diffeomorphic if and only if their stab
ilized symplectic six-manifolds\, obtained by taking products with $\\math
bb{CP}^1$ with the standard symplectic form\, are deformation equivalent?
I will discuss joint work with Amanda Hirschi on showing how deformation i
nequivalent symplectic forms remain deformation inequivalent when stabiliz
ed\, under certain algebraic conditions. This gives the first counterexamp
les to one direction of Donaldson’s “four-six” question and the rela
ted Stabilizing Conjecture by Ruan.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/114/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eduardo Fernández (U of Georgia)
DTSTART:20240119T141500Z
DTEND:20240119T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/115
DESCRIPTION:Title: Cabling families of Legendrian embeddings\nby Eduardo Fernánde
z (U of Georgia) as part of Symplectic zoominar\n\n\nAbstract\nI will disc
uss a recursive formula for the homotopy type of the space of Legendrian e
mbeddings of sufficiently positive cables with the maximal Thurston-Benneq
uin invariant. Via this formula\, we identify infinitely many new componen
ts within the space of Legendrian embeddings in the standard contact 3-sph
ere that satisfy an injective h-principle. These components include those
containing positive Legendrian torus knots with the maximal Thurston-Benne
quin invariant. This work is a collaboration with Hyunki Min.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/115/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthias Meiwes (Tel Aviv)
DTSTART:20231124T141500Z
DTEND:20231124T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/116
DESCRIPTION:Title: $C^0$ stability of topological entropy for 3-dimensional Reeb flows
\nby Matthias Meiwes (Tel Aviv) as part of Symplectic zoominar\n\n\nAb
stract\nThe $C^0$ distance on the space of contact forms on a contact mani
fold has been studied recently by different authors. It can be thought of
as an analogue for Reeb flows of the Hofer metric on the space of Hamilton
ian diffeomorphisms. In this talk\, I will explain some recent progress on
the stability properties of the topological entropy with respect to this
distance obtained in collaboration with M. Alves\, L. Dahinden\, and A. Pi
rnapasov. Our main result states that the topological entropy for closed c
ontact 3-manifolds is lower semi-continuous in the $C^0$ distance for $C^{
\\infty}$-generic contact froms. Applying our methods to geodesic flows of
surfaces\, we obtain that the points of lower-semicontinuity of the topol
ogical entropy include non-degenerate metrics. In particular\, given a geo
desic flow of such a metric with positive topological entropy\, the topol
ogical entropy does not vanish for sufficiently $C^0$-small perturbations
of the metric.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/116/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yusuf Barış Kartal (Edinburgh)
DTSTART:20231222T141500Z
DTEND:20231222T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/117
DESCRIPTION:Title: Equivariant Floer homotopy via Morse-Bott theory\nby Yusuf Bar
ış Kartal (Edinburgh) as part of Symplectic zoominar\n\n\nAbstract\nFloe
r homotopy type refines the Floer homology by associating a (stable) homot
opy type to an Hamiltonian\, whose homology gives the Hamiltonian Floer ho
mology. In particular\, one expects the existing structures on the latter
to lift as well\, such as the circle actions. On the other hand\, construc
ting a genuine circle action even in the Morse theory is problematic: one
usually cannot choose Morse-Smale pairs/Floer data that is invariant under
the circle action. In this talk\, we show how to extend the framework of
Floer homotopy theory to the Morse-Bott setting\, in order to tackle this
problem. In the remaining time\, we explain how to relate the Floer homoto
py type to the free loop spaces of exact Lagrangian submanifolds equivaria
ntly\, and discuss applications to recovering information about the topolo
gy of the underlying manifold from its symplectic cohomology. Joint work w
ith Laurent Cote.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/117/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francesco Morabito (Paris)\; Filip Brocic (UdeM)\; Valentin Bossha
rd (ETH)
DTSTART:20240105T141500Z
DTEND:20240105T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/118
DESCRIPTION:Title: Three 20min research talks\nby Francesco Morabito (Paris)\; Fil
ip Brocic (UdeM)\; Valentin Bosshard (ETH) as part of Symplectic zoominar\
n\n\nAbstract\n-----\n\nI. Francesco Morabito (Paris)\n\nTitle: TBA\n\nAbs
tract: TBA\n\n-----\n\nII. Filip Brocic (UdeM)\n\nTitle: Riemannian distan
ce and symplectic embeddings in cotangent bundle\n\nAbstract: \nIn the tal
k\, I will introduce a distance-like function on the zero section of the c
otangent bundle using symplectic embeddings of standard balls inside an op
en neighborhood of the zero section. I will provide some examples which il
lustrate the properties of such a function. The main result that I will pr
esent is a relationship between the length structure associated to the int
roduced distance and the usual Riemannian length. Time permitting\, I will
explain a connection with the strong Viterbo conjecture for certain domai
ns.\n\n-----\n\nIII. Valentin Bosshard (ETH)\n\nTitle: TBA\n\nAbstract: TB
A\n\n-----\n
LOCATION:https://researchseminars.org/talk/SympZoominar/118/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Johanna Bimmermann (Bochum)\; Soham Chanda (Rutgers)\; Valerio Ass
enza (IMPA)
DTSTART:20240126T141500Z
DTEND:20240126T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/119
DESCRIPTION:Title: Three 20min research talks\nby Johanna Bimmermann (Bochum)\; So
ham Chanda (Rutgers)\; Valerio Assenza (IMPA) as part of Symplectic zoomin
ar\n\n\nAbstract\n-----\n\nI. Johanna Bimmermann (Bochum)\n\nTitle: From m
agnetically twisted to hyperkähler\n\nAbstract: The tangent bundle of a K
ähler manifold admits in a neighborhood of the zero section a hyperkähle
r structure. From a symplectic point of view\, this means we have three sy
mplectic structures all compatible with a single metric. Two of the three
symplectic structures are easy to describe in terms of the canonic symplec
tic structure. The third one is harder to describe\, but in the case of he
rmitian symmetric spaces\, there is an explicit formula found by Biquard a
nd Gauduchon. In this talk\, I will construct a surprising diffeomorphism
of the tangent bundle of a hermitian symmetric space that identifies this
third symplectic structure with the magnetically twisted symplectic struct
ure\, where the twist is given by the Kähler form on the base. \n\n-----\
n\nII. Soham Chanda (Rutgers)\n\nTitle: Augmentation varieties and disk po
tential\n\nAbstract: Dimitroglou-Rizell-Golovko constructs a family of Leg
endrians in prequantization bundles by taking lifts of monotone Lagrangian
s. These lifted Legendrians have a Morse-Bott family of Reeb chords. We co
nstruct a version of Legendrian Contact Homology (LCH) for Rizell-Golovko'
s lifted Legendrians by counting treed disks. Our formalism of LCH allows
us to obtain augmentations from certain non-exact fillings. We prove a con
jecture of Rizell-Golovko relating the augmentation variety assoiciated to
the LCH of a lifted Legendrian and the disk potential of the base Lagrang
ian. As an application\, we show that lifts of monotone Lagrangian tori in
projective spaces with different disk-potentials\, e.g. as constructed by
Vianna\, produce non-isotopic Legendrian tori in contact spheres. The abo
ve work is a joint project with Blakey\, Sun and Woodward. \n\n-----\n\nII
I. Valerio Assenza (IMPA)\n\nTitle: On the geometry of magnetic flows\n\n
Abstract: A magnetic system is the toy model for the motion of a charged p
article moving on a Riemannian manifold endowed with a magnetic force. To
a magnetic flow we associate an operator\, called the magnetic curvature o
perator. Such an operator encodes together the geometrical properties of t
he Riemannanian structure together with terms of perturbation due to magne
tic interaction\, and it carries crucial informations of the magnetic dyna
mics. For instance\, in this talk\, we see how a level of the energy posit
ively curved\, in this new magnetic sense\, carries a periodic orbit. We a
lso generalize to the magnetic case the classical Hopf's rigity and we int
roduce the notion of magnetic flatness for closed surfaces. \n\n-----\n
LOCATION:https://researchseminars.org/talk/SympZoominar/119/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dylan Cant (UdeM)
DTSTART:20240209T141500Z
DTEND:20240209T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/120
DESCRIPTION:Title: Extensible positive loops and vanishing of symplectic cohomology\nby Dylan Cant (UdeM) as part of Symplectic zoominar\n\n\nAbstract\nI wi
ll discuss the relationship between positive loops of contactomorphisms of
a fillable contact manifold and the symplectic cohomology (SH) of the fil
ling. The main result is that the existence of a positive loop which is "e
xtensible" implies SH vanishes. We also discuss the relationship between n
on-extensible loops and exotic mapping classes in the symplectomorphism gr
oup. The results have a relative (Lagrangian) formulation: an extensible p
ositive loop of fillable Legendrians implies the wrapped Floer cohomology
of the filling vanishes. As an application\, one obtains a criterion for a
positive loop to be non-extensible\; interestingly enough\, non-extensibl
e loops provide a nice construction of exotic symplectic mapping classes (
in the absolute case) and exotic Lagrangian fillings (in the relative case
).\n
LOCATION:https://researchseminars.org/talk/SympZoominar/120/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alberto Abbondandolo (Bochum)
DTSTART:20240216T141500Z
DTEND:20240216T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/121
DESCRIPTION:Title: Symplectic capacities of domains close to the ball and Banach-Mazur
geodesics in the space of contact forms\nby Alberto Abbondandolo (Boc
hum) as part of Symplectic zoominar\n\n\nAbstract\nAn old open question in
symplectic topology is whether all normalized capacities coincide on conv
ex bounded domains in the standard symplectic vector space. I will discuss
this question for domains which are close to the Euclidean ball and its c
onnection with the geometry of the space of contact forms with a Banach-Ma
zur pseudo-metric. This talk is based on a recent joint work with Gabriele
Benedetti and Oliver Edtmair.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/121/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robert Lipshitz (Oregon)
DTSTART:20240308T141500Z
DTEND:20240308T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/122
DESCRIPTION:Title: Strongly invertible knots\, Khovanov homotopy\, and localization\nby Robert Lipshitz (Oregon) as part of Symplectic zoominar\n\n\nAbstrac
t\nStrong inversions are a class of order-2 symmetries of knots in \\(S^3\
\). Building on work of Seidel-Smith\, Lidman-Manolescu\, Stoffregen-Zhang
\, and others\, we will describe a relationship between the Khovanov homol
ogy of a knot with a strong inversion and its quotients by the inversion.
We will also give a modest application to surfaces in 4-space. This is joi
nt work with Sucharit Sarkar. While there is no symplectic geometry in the
talk\, many of the ideas come from or may be useful in Floer-theoretic se
ttings.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/122/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ko Honda (UCLA)
DTSTART:20240322T131500Z
DTEND:20240322T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/123
DESCRIPTION:Title: The Giroux correspondence in arbitrary dimensions\nby Ko Honda
(UCLA) as part of Symplectic zoominar\n\n\nAbstract\nAround twenty years a
go Emmanuel Giroux formulated the equivalence of contact structures and op
en book decompositions with Weinstein pages up to stabilization. We establ
ish the Giroux correspondence in full generality using the recent developm
ents in convex hypersurface theory. This is joint work with Joe Breen and
Yang Huang.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/123/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Álvaro Pelayo (Complutense University of Madrid)
DTSTART:20240531T131500Z
DTEND:20240531T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/124
DESCRIPTION:Title: Toric and semitoric symplectic geometry: progress and challenges\nby Álvaro Pelayo (Complutense University of Madrid) as part of Symplec
tic zoominar\n\n\nAbstract\nToric integrable systems\, also known as sympl
ectic toric manifolds\, arise as examples in different contexts within geo
metry and related areas. Semitoric integrable systems are a generalization
of toric integrable systems in dimension four. In this talk I will discus
s some classical and recent work on the symplectic geometry of toric and s
emitoric integrable systems. I will also mention some future challenges in
the field.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/124/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark McLean (Stony Brook)
DTSTART:20240628T131500Z
DTEND:20240628T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/125
DESCRIPTION:Title: Symplectic Orbifold Gromov-Witten Invariants\nby Mark McLean (S
tony Brook) as part of Symplectic zoominar\n\n\nAbstract\nChen and Ruan co
nstructed symplectic orbifold Gromov-Witten invariants more than 20 years
ago. In ongoing work with Alex Ritter\, we show that moduli spaces of pse
udo-holomorphic curves mapping to a symplectic orbifold admit global Kuran
ishi charts. This allows us to construct other types of Gromov-Witten inva
riants\, such as K-theoretic counts. The construction relies on an orbifol
d embedding theorem of Ross and Thomas.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/125/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Denis Auroux (Harvard)
DTSTART:20240223T141500Z
DTEND:20240223T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/126
DESCRIPTION:Title: Floer-theoretic corrections to the geometry of moduli spaces of Lag
rangian tori\nby Denis Auroux (Harvard) as part of Symplectic zoominar
\n\n\nAbstract\nGiven a Lagrangian torus fibration on the complement of an
anticanonical divisor in a Kahler manifold\, one usually constructs a mir
ror space by gluing local charts (moduli spaces of objects of the Fukaya c
ategory supported on generic torus fibers) via wall-crossing transformatio
ns determined by counts of Maslov index 0 holomorphic discs\; this mirror
also comes equipped with a regular function (the superpotential) which enu
merates Maslov index 2 holomorphic discs. Holomorphic discs of negative Ma
slov index deform this picture by introducing inconsistencies in the wall-
crossing transformations\; the geometric features of the corrected moduli
space of objects of the Fukaya category can be understood in the language
of extended deformations of Landau-Ginzburg models. We will illustrate thi
s phenomenon on an explicit example (a 4-fold obtained by blowing up a tor
ic variety)\, and\, if time permits\, discuss a family Floer approach to t
he geometry of the corrected mirror in this setting.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/126/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yusuke Kawamoto (ETH)
DTSTART:20240315T131500Z
DTEND:20240315T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/127
DESCRIPTION:Title: Quantitative Floer theory and coefficients\nby Yusuke Kawamoto
(ETH) as part of Symplectic zoominar\n\n\nAbstract\nI will discuss how muc
h the choice of coefficients impacts the quantitative information of Floer
theory\, especially spectral invariants. In particular\, I will present s
ome phenomena that are specific to integer coefficients\, including an ans
wer to a variant of a question posed by Nancy Hingston. The material is ba
sed on a joint work with Egor Shelukhin.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/127/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Viktor Ginzburg (UCSC)
DTSTART:20240510T131500Z
DTEND:20240510T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/128
DESCRIPTION:Title: Invariant sets and hyperbolic periodic orbits\nby Viktor Ginzbu
rg (UCSC) as part of Symplectic zoominar\n\n\nAbstract\nThe presence of hy
perbolic periodic orbits or invariant sets often has an affect on the glob
al behavior of a dynamical system. In this talk we discuss two theorems al
ong the lines of this phenomenon\, extending some properties of Hamiltonia
n diffeomorphisms to dynamically convex Reeb flows on the sphere in all di
mensions. The first one\, complementing other multiplicity results for Ree
b flows\, is that the existence of a hyperbolic periodic orbit forces the
flow to have infinitely many periodic orbits. This result can be thought o
f as a step towards Franks’ theorem for Reeb flows. The second result is
a contact analogue of the higher-dimensional Le Calvez-Yoccoz theorem pro
ved by the speaker and Gurel and asserting that no periodic orbit of a Ham
iltonian pseudo-rotation is locally maximal. The talk is based on a joint
work with Erman Cineli\, Basak Gurel and Marco Mazzucchelli.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/128/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yao Xiao (Stony Brook)\; Yoav Zimhony (TAU)\; Qi Feng (IGP-UST\, H
efei)
DTSTART:20240329T131500Z
DTEND:20240329T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/129
DESCRIPTION:Title: Three 20min research talks\nby Yao Xiao (Stony Brook)\; Yoav Zi
mhony (TAU)\; Qi Feng (IGP-UST\, Hefei) as part of Symplectic zoominar\n\n
Abstract: TBA\n
LOCATION:https://researchseminars.org/talk/SympZoominar/129/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yan-Lung Leon Li (CUHK)\; Levin Maier (Heidelberg)\; Austin Christ
ian (Georgia Tech)
DTSTART:20240412T131500Z
DTEND:20240412T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/130
DESCRIPTION:Title: Three 20min research talks\nby Yan-Lung Leon Li (CUHK)\; Levin
Maier (Heidelberg)\; Austin Christian (Georgia Tech) as part of Symplectic
zoominar\n\n\nAbstract\n-----\n\nI. Yan-Lung Leon Li (CUHK)\n\nTitle: Equ
ivariant Lagrangian correspondence and a conjecture of Teleman\n\nAbstract
:\n\nIt has been a continuing interest\, often with profound importance\,
in understanding the geometric and topological relationship between a Hami
ltonian G-manifold Y and a symplectic quotient X. In this talk\, we shall
provide precise relations between their (equivariant) Lagrangian Floer the
ory. In particular\, we will address a conjecture of Teleman\, motivated b
y 3d mirror symmetry\, on the 2d mirror construction of X from that of Y\,
which generalises Givental-Hori-Vafa mirror construction for toric variet
ies. The key technical ingredient is the Kim-Lau-Zheng’s equivariant ext
ension of Fukaya’s Lagrangian correspondence tri-modules over equivarian
t Floer complexes. Joint work with Siu-Cheong Lau and Naichung Conan Leung
. \n\n-----\n\nII. Levin Maier (Heidelberg)\n\nTitle: On Mañé's critical
value for the two-component Hunter-Saxton system\n\nAbstract: \n\nIn this
talk\, we will introduce Mañé's critical value for a Hamiltonian PDE\,
the two-component Hunter-Saxton system. We will introduce the magnetic two
-component Hunter-Saxton system (M2HS)\, which is a magnetic geodesic equa
tion on an infinite-dimensional Lie group. We prove that this magnetic sys
tem is magnetic isomorphic to a magnetic system on an infinite-dimensional
sphere. Surprisingly each magnetic geodesic is tangent to the 3-sphere ob
tained by intersecting the ambient sphere with a complex plane. We use thi
s geometric description of the (M2HS) to give explicit criteria for blow-u
ps and prove the existence of global weak solutions. \n\n-----\n\nIII. Aus
tin Christian (Georgia Tech)\n\nTitle: Persistent Legendrian contact homol
ogy\n\nAbstract: \n\nThis talk will report on an REU whose goal was to int
roduce the notion of persistence into Legendrian contact homology. The LCH
of a Legendrian knot is computed as the homology of the knot's Chekanov-E
liashberg DGA and is a well-studied invariant of Legendrian isotopy types.
For a given Legendrian embedding\, the Chekanov-Eliashberg DGA admits a n
atural filtration\, allowing for the computation of persistent homology. T
he purpose of this REU was to initiate the study of the resulting filtered
homology. The project was joint with M. Basu\, E. Clayton\, D. Irvine\, F
. Mooers\, and W. Shen. \n\n-----\n
LOCATION:https://researchseminars.org/talk/SympZoominar/130/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shira Tanny (IAS)
DTSTART:20240419T131500Z
DTEND:20240419T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/131
DESCRIPTION:Title: From Gromov–Witten theory to the closing lemma\nby Shira Tann
y (IAS) as part of Symplectic zoominar\n\n\nAbstract\nAn old question of P
oincaré concerns creating periodic orbits via perturbations of a flow/dif
feomorphism. While pseudoholomorphic methods have successfully addressed t
his question in dimensions 2-3\, the higher-dimensional case remains less
understood. I will describe a connection between this question and Gromov
–Witten invariants\, which goes through a new class of invariants of sym
plectic cobordisms. This is a joint work with Julian Chaidez.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/131/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ivan Smith (Cambridge)
DTSTART:20240517T131500Z
DTEND:20240517T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/132
DESCRIPTION:Title: Bordism of flow modules and exact Lagrangians\nby Ivan Smith (C
ambridge) as part of Symplectic zoominar\n\n\nAbstract\nWe discuss constra
ints on exact Lagrangian embeddings obtained from considering bordism clas
ses of flow modules over Lagrangian Floer flow categories. This talk repor
ts on joint work with Noah Porcelli.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/132/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lenhard Ng (Duke)
DTSTART:20240524T131500Z
DTEND:20240524T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/133
DESCRIPTION:Title: New algebraic invariants of Legendrian links\nby Lenhard Ng (Du
ke) as part of Symplectic zoominar\n\n\nAbstract\nFor the past 25 years\,
Legendrian contact homology has played a key role in contact topology. I'l
l discuss a package of new invariants for Legendrian knots and links that
builds on Legendrian contact homology and is derived from rational symplec
tic field theory. This includes a Poisson bracket on Legendrian contact ho
mology and a symplectic structure on augmentation varieties. Time permitti
ng\, I'll also describe an unexpected connection to cluster theory for a f
amily of Legendrian links associated to positive braids. Parts of this are
joint work in progress with Roger Casals\, Honghao Gao\, Linhui Shen\, an
d Daping Weng.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/133/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Agustin Moreno (Heidelberg)
DTSTART:20240503T131500Z
DTEND:20240503T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/134
DESCRIPTION:by Agustin Moreno (Heidelberg) as part of Symplectic zoominar\
n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/SympZoominar/134/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dan Cristofaro-Gardiner (Maryland)
DTSTART:20240614T131500Z
DTEND:20240614T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/135
DESCRIPTION:Title: Two or infinity\nby Dan Cristofaro-Gardiner (Maryland) as part
of Symplectic zoominar\n\n\nAbstract\nIt is conjectured that every Reeb fl
ow on a closed three-manifold has either two\, or infinitely many\, simple
periodic orbits. I will survey what is currently known about this conject
ure. Then\, I will try to explain some of the key ideas behind recent join
t work proving it\, as long as the associated contact structure has torsio
n Chern class. Then\, I will state some related open questions.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/135/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexandru Oancea (Strasbourg)
DTSTART:20241011T131500Z
DTEND:20241011T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/136
DESCRIPTION:Title: Floer homology with DG coefficients. Applications to cotangent bund
les\nby Alexandru Oancea (Strasbourg) as part of Symplectic zoominar\n
\n\nAbstract\nGiven a path-connected topological space \\(X\\)\, a differe
ntial graded (DG) local system (or derived local system) is a module over
the DGA of chains on the based loop space of \\(X\\). I will explain how t
o define in the symplectically aspherical case Hamiltonian Floer homology
with coefficients in a DG local system\, how this homology fits into a fil
tered homological toolbox\, and will present a number of dynamical applica
tions to cotangent bundles. This is joint work with Jean-François Barraud
\, Mihai Damian and Vincent Humilière. The construction of Floer homology
with enriched coefficients was originally discovered by Barraud-Cornea\,
and it was revisited over the years in different settings by Abouzaid\, Ch
arette\, Zhou\, and Rezchikov.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/136/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jean Gutt (IMT / INU Champollion)
DTSTART:20241018T131500Z
DTEND:20241018T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/137
DESCRIPTION:Title: Ekeland-Hofer capacities as coming from positive \\(S^1\\) equivari
ant symplectic homology\nby Jean Gutt (IMT / INU Champollion) as part
of Symplectic zoominar\n\n\nAbstract\nAssociated to a star-shaped domain i
n \\(\\mathbb{R}^{2n}\\) are two increasing sequences of capacities: the E
keland-Hofer capacities and the so-called Gutt-Hutchings capacities. I sha
ll recall both constructions and then present the main theorem that they a
re the same. This is joint work with Vinicius Ramos.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/137/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adrien Currier (Nantes)\; Adi Dickstein (Tel Aviv)\; Elliot Gather
cole (Lancaster)
DTSTART:20241025T131500Z
DTEND:20241025T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/138
DESCRIPTION:Title: Three 20min research talks\nby Adrien Currier (Nantes)\; Adi Di
ckstein (Tel Aviv)\; Elliot Gathercole (Lancaster) as part of Symplectic z
oominar\n\n\nAbstract\n-----\n\nI. Adrien Currier (Nantes)\n\nTitle: Exact
Lagrangians in cotangent bundles with locally conformally symplectic stru
cture\n\nAbstract:\n\nFirst considered by Lee in the 40s\, locally conform
ally symplectic (LCS) geometry appears as a generalization of symplectic g
eometry which allows for the study of Hamiltonian dynamics on a wider rang
e of manifolds while preserving the local properties of symplectic geometr
y. After a long period of hibernation (especially as far as the topologic
al aspect is concerned)\, interest in this subject has picked up again rec
ently. However\, to this day\, the field of LCS topology remains vastly un
explored.\n
\nIn this talk\, we will introduce the various objects of
LCS geometry and their behavior through both definitions and examples. We
will also explore some questions around an LCS version of the nearby Lagr
angian conjecture and some of the connections between LCS and contact geom
etry.\n\n-----\n\nII. Adi Dickstein (Tel Aviv)\n\nTitle: Relative symplect
ic cohomology of pairs\n\nAbstract: \n\nRelative symplectic cohomology\, a
n invariant of subsets in a symplectic manifold\, was recently introduced
by Varolgunes. In this talk\, I will present a generalization of this inva
riant to pairs of subsets\, which shares similar properties with the singu
lar cohomology of pairs\, such as excision and a product structure. Using
this new invariant\, I will demonstrate new symplectic rigidity phenomena.
Joint with Yaniv Ganor\, Leonid Polterovich and Frol Zapolsky.\n\n-----\n
\nIII. Elliot Gathercole (Lancaster)\n\nTitle: Superheavy skeleta for non-
normal crossings divisors\n\nAbstract: \n\nGiven an anticanonical divisor
in a projective variety\, one naturally obtains a monotone Kähler manifol
d\, and the divisor complement is naturally a Liouville manifold. For cert
ain kinds of singular divisors\, we will outline a result obtaining rigid
(in particular\, superheavy) neighbourhoods of the Lagrangian skeleton of
the complement\, of prescribed volume dependent on the divisor\, and illus
trate this with some interesting examples where the skeleton itself is sup
erheavy.\n\n-----\n
LOCATION:https://researchseminars.org/talk/SympZoominar/138/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sebastian Haney (Columbia)\; Milica Ðukic (Uppsala)\; Yann Guggis
berg (Utrecht)
DTSTART:20241115T141500Z
DTEND:20241115T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/139
DESCRIPTION:Title: Three 20min research talks\nby Sebastian Haney (Columbia)\; Mil
ica Ðukic (Uppsala)\; Yann Guggisberg (Utrecht) as part of Symplectic zoo
minar\n\n\nAbstract\n-----\n\nI. Sebastian Haney (Columbia)\n\nTitle: Open
enumerative mirror symmetry for lines in the mirror quintic\n\nAbstract:\
n\nOne of the earliest achievements of mirror symmetry was the prediction
\nof genus zero Gromov-Witten invariants for the quintic threefold in \nte
rms of period integrals on the mirror. Analogous predictions for \nopen Gr
omov-Witten invariants in closed Calabi-Yau threefolds can be \nformulated
in terms of relative period integrals on the mirror\, which \ngovern exte
nsions of variations of Hodge structure. I will discuss \nwork in which I
construct an immersed Lagrangian in the quintic which \nsupports a family
of objects in the Fukaya category mirror to vector \nbundles on lines in t
he mirror quintic\, and deduce its open \nGromov-Witten invariants from ho
mological mirror symmetry. The domain \nof this Lagrangian immersion is a
closed 3-manifold obtained by gluing \ntogether two copies of a cusped hyp
erbolic 3-manifold. The open \nGromov-Witten invariants of the Lagrangian
are irrational numbers \nvalued in the invariant trace field of the hyperb
olic pieces.\n\n-----\n\nII. Milica Ðukic (Uppsala)\n\nTitle: A deformati
on of the Chekanov-Eliashberg dg algebra using pseudoholomorphic annuli\n\
nAbstract:\n\nWe introduce an SFT-type invariant for Legendrian knots in \
\(\\mathbb{R}^3\\)\, which is a deformation of the Chekanov-Eliashberg dif
ferential graded algebra. The differential includes components that count
index zero pseudoholomorphic disks with up to two positive punctures\, ann
uli with one positive puncture\, and a string topological component. We al
so describe a combinatorial way to compute the invariant from the Lagrangi
an projection. \n\n-----\n\nIII. Yann Guggisberg (Utrecht)\n\nTitle: Insta
ntaneous Hamiltonian diplaceability and arbitrary squeezability for critic
ally negligible sets\n\nAbstract:\n\nThis talk will be about joint work wi
th Fabian Ziltener in which we show that a compact n-rectifiable subset of
$\\mathbb{R}^{2n}$ with vanishing n-Hausdorff measure can be displaced fr
om itself by a Hamiltonian diffeomorphism arbitrarily close to the identit
y. This has the consequence that such a set can be arbitrarily symplectica
lly squeezed\, i.e. embedded into any neighborhood of the origin in $\\mat
hbb{R}^{2n}$.\n\n-----\n
LOCATION:https://researchseminars.org/talk/SympZoominar/139/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Hutchings (Berkeley)
DTSTART:20241101T131500Z
DTEND:20241101T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/140
DESCRIPTION:Title: Classification of some open toric domains\nby Michael Hutchings
(Berkeley) as part of Symplectic zoominar\n\n\nAbstract\nWe show that two
generic\, open\, convex or concave toric domains in \\(\\mathbb{R}^4\\) a
re symplectomorphic if and only if they agree up to reflection. The proof
uses barcodes in positive \\(S^1\\)-equivariant symplectic homology\, or e
quivalently in cylindrical contact homology.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/140/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Pomerleano (UMB)
DTSTART:20241129T141500Z
DTEND:20241129T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/141
DESCRIPTION:Title: Non-commutative Cartier isomorphism and quantum cohomology\nby
Daniel Pomerleano (UMB) as part of Symplectic zoominar\n\n\nAbstract\nKale
din established a Cartier isomorphism for cyclic homology of dg-categories
over fields of characteristic p\, generalizing a classical construction i
n algebraic geometry. In joint work with Paul Seidel\, we showed that this
isomorphism and related results imply concrete statements about the struc
ture of quantum connections on monotone symplectic manifolds (both in char
acteristic p and characteristic zero). \n
\nI will explain these
results and\, if time permits\, I will also describe some open questions c
oncerning the enumerative interpretation of the Cartier isomorphism as wel
l as connections to quantum Steenrod operations.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/141/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Felix Schlenk (Neuchâtel)
DTSTART:20241122T141500Z
DTEND:20241122T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/142
DESCRIPTION:Title: New invariants for Hamiltonian isotopy classes of monotone Lagrangi
an torus fibers\nby Felix Schlenk (Neuchâtel) as part of Symplectic z
oominar\n\n\nAbstract\nBased on the exotic Lagrangian tori constructed in
\\(\\mathbb{CP}^2\\) by Vianna and Galkin-Mikhalkin\, we construct for eac
h Markov triple three monotone Lagrangian tori in the 4-ball\, and for tri
ples with distinct entries show that these tori lie in different Hamiltoni
an isotopy classes. Defining the outer radius of such a torus as the capac
ity of the smallest ball containing a representative of the Hamiltonian is
otopy class\, we compute the outer radius for an infinite sequence of tori
and show it distinguishes these tori.\n
\n We do a si
milar study for monotone tori in the cube. If such a torus arises from a d
egeneration of \\(S^2 \\times S^2\\) with triangular moment image\, it giv
es rise to four different Hamiltonian isotopy classes of tori in the cube\
; on the other hand\, if the monotone torus arises from a non-trivial dege
neration with quadrilateral moment image\, it gives rise to eight differen
t Hamiltonian isotopy classes of tori in the cube. In particular\, we find
infinitely many pairs of monotone tori in \\(S^2 \\times S^2\\) which are
symplectomorphic but not Hamiltonian isotopic.\n
\n T
his talk is based on work joint with Richard Hind and Grisha Mikhalkin.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/142/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thomas Kragh (Uppsala)
DTSTART:20241213T141500Z
DTEND:20241213T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/143
DESCRIPTION:Title: Using h-cobordisms to detect non-trivial homotopy groups in spaces
of Legendrian\nby Thomas Kragh (Uppsala) as part of Symplectic zoomina
r\n\n\nAbstract\nIn this talk I will first define the space of h-cobordism
s associated to a manifold M. This space is known to have many non-trivial
homotopy groups and in stable range (they can often be computed using Wal
dhausen's algebraic K-theory of spaces). I will then define maps from thes
e spaces into certain spaces of Legendrians\, and I will describe how we d
etect that these maps are to some extend non-trivial on homotopy groups. A
special case is that we essentially (and in stable range) find two copies
of the h-cobordism space of a point inside the space of Legendrians of th
e jet 1 bundle of the n-sphere based at a standard Legendrian unknot (the
Whitney sphere).\n
LOCATION:https://researchseminars.org/talk/SympZoominar/143/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhengyi Zhou (AMSS\, CAS)
DTSTART:20250117T141500Z
DTEND:20250117T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/144
DESCRIPTION:Title: Kä\;hler compactification of \\(\\mathbb{C}^n\\) and Reeb dynam
ics\nby Zhengyi Zhou (AMSS\, CAS) as part of Symplectic zoominar\n\n\n
Abstract\nWe will present two results in complex geometry: (1) A Kä\;h
ler compactification of \\(\\mathbb{C}^n\\) with a smooth divisor compleme
nt must be \\(\\mathbb{P}^n\\)\, which confirms a conjecture of Brenton an
d Morrow under the Kä\;hler assumption\; (2) Any complete asymptotical
ly conical Calabi-Yau metric on \\(\\mathbb{C}^3\\) with a smooth link mus
t be flat\, confirming a modified version of Tian’s conjecture regarding
the recognition of the flat metric among Calabi-Yau metrics in dimension
3. Both proofs rely on relating the minimal discrepancy number of a Fano c
one singularity to its Reeb dynamics of the conic contact form. This is a
joint work with Chi Li.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/144/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jae Hee Lee (Stanford)\; Simon Vialaret (Bochum / Orsay)\; Kenneth
Blakey (MIT)
DTSTART:20241220T141500Z
DTEND:20241220T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/145
DESCRIPTION:Title: Three 20min research talks\nby Jae Hee Lee (Stanford)\; Simon V
ialaret (Bochum / Orsay)\; Kenneth Blakey (MIT) as part of Symplectic zoom
inar\n\n\nAbstract\n-----\n\nI. Jae Hee Lee (Stanford)\n\nTitle: Quantum S
teenrod operations\, p-curvature\, and representation theory\n\nAbstract:\
n\nQuantum Steenrod operations are deformations of classical Steenrod oper
ations on mod p cohomology defined by counts of genus 0 holomorphic curves
with a p-fold symmetry\, for a prime p. We explain their relationship wit
h the p-curvature of the quantum connection\, and survey recent developmen
ts. This relationship was first noticed through the study of quantum Steen
rod operations of symplectic resolutions\, a rich class of smooth symplect
ic manifolds arising from representation theory. We describe the role of q
uantum Steenrod operations in the 3D mirror symmetry program\, which conce
rns a duality between such symplectic resolutions. Partly joint with Shaoy
un Bai.\n\n-----\n\nII. Simon Vialaret (Bochum / Orsay)\n\nTitle: Systolic
inequalities for \\(S^1\\)-invariant contact forms\n\nAbstract:\n\nIn con
tact geometry\, a systolic inequality aims to give a uniform upper bound o
n the shortest period of a periodic Reeb orbit for contact forms with fixe
d volume on a given manifold. This generalizes a well-studied notion in Ri
emannian geometry. It is known that there is no systolic inequality valid
for all contact forms on any given contact manifold. In this talk\, I will
state a systolic inequality for contact forms that are invariant under a
circle action in dimension three.\n\n-----\n\nIII. Kenneth Blakey (MIT)\n\
nTitle: Bounding Lagrangian intersections using Floer homotopy theory\n\nA
bstract:\n\nI will describe a new lower bound on the number of intersectio
n points of a Lagrangian pair\, in the exact setting\, using Steenrod squa
res on Lagrangian Floer cohomology which are defined via a Floer homotopy
type.\n\n\n-----\n
LOCATION:https://researchseminars.org/talk/SympZoominar/145/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Surena Hozoori (Rochester)
DTSTART:20250124T141500Z
DTEND:20250124T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/146
DESCRIPTION:Title: Regularity and persistence in non-Weinstein Liouville geometry via
hyperbolic dynamics\nby Surena Hozoori (Rochester) as part of Symplect
ic zoominar\n\n\nAbstract\nWe explore the construction of non-Weinstein Li
ouville geometric objects based on Anosov 3-flows\, introduced by Mitsumat
su\, in the generalized framework of Liouville Interpolation Systems and n
on-singular partially hyperbolic flows. We discuss the subtle phenomena in
herited from the regularity and persistence theory of hyperbolic dynamics
in the resulting Liouville structures\, and prove dynamical and geometric
rigidity results in this context. Among other things\, we show that Mitsum
atsu's examples characterize 4-dimensional non-Weinstein Liouville geometr
y with 3-dimensional \\(C^1\\)-persistent transverse skeleton. Time permit
ting\, we also draw applications to the regularity theory of the weak domi
nated bundles for non-singular partially hyperbolic 3-flows.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/146/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhen Gao (Augsburg)\; Zihong Chen (MIT)\; Jonghyeon Ahn (UIUC)
DTSTART:20250131T141500Z
DTEND:20250131T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/147
DESCRIPTION:Title: Three 20min research talks\nby Zhen Gao (Augsburg)\; Zihong Ch
en (MIT)\; Jonghyeon Ahn (UIUC) as part of Symplectic zoominar\n\n\nAbstra
ct\n-----\n\nI. Zhen Gao (Augsburg)\n\nTitle: Morse-Bott Floer homology an
d rectangular pegs\n\nAbstract: The rectangular peg problem\, an extension
of the square peg problem\, is easy to outline but challenging to prove t
hrough elementary methods. In this talk\, I discuss how to show the existe
nce and a generic multiplicity result assuming the Jordan curve is smooth\
, utilizing Morse-Bott Floer homology. In particular\, we obtain a conveni
ent formula for computing the algebraic intersection number of cleanly int
ersecting Lagrangian submanifolds\, which is well consistent with the Eule
r characteristic of Morse-Bott Floer homology in the spirit of "categorifi
cation''.\n\n-----\n\nII. Zihong Chen (MIT)\n\nTitle: The exponential type
conjecture for quantum connection\n\nAbstract:\n\nThe (small) quantum con
nection is one of the simplest objects built out of Gromov-Witten theory\,
yet it gives rise to a repertoire of rich and important questions such as
the Gamma conjectures and the Dubrovin conjectures. There is a very basic
question one can ask about this connection: what is its formal singularit
y type? People's expectation for this is packaged into the so-called expon
ential type conjecture\, and I will discuss a proof in the case of closed
monotone symplectic manifolds. My approach follows a reduction mod p argum
ent\, by combining Katz's classical result on differential equations and t
he more recent quantum Steenrod operations.\n\n-----\n\nIII. Jonghyeon Ahn
(UIUC)\n\nTitle: \\(S^1\\)-equivariant relative symplectic cohomology and
relative symplectic capacities\n\nAbstract:\n\nIn this talk\, I will cons
truct an \\(S^1\\)-equivariant version of the relative symplectic cohomolo
gy developed by Varolgunes. As an application\, I will construct a relativ
e version of Gutt-Hutchings capacities and a relative version of symplecti
c (co)homology capacity. We will see that these relative symplectic capaci
ties can detect the diplaceability and the heaviness of a compact subset o
f a symplectic manifold. We compare the first relative Gutt-Hutchings capa
city and the relative symplectic (co)homology capacity and prove that they
are equal to each other under a convexity assumption.\n\n-----\n
LOCATION:https://researchseminars.org/talk/SympZoominar/147/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vukašin Stojisavljević (CRM\, UdeM)
DTSTART:20250228T141500Z
DTEND:20250228T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/148
DESCRIPTION:Title: On certain \\(C^0\\)-aspects of contactomorphism groups\nby Vuk
ašin Stojisavljević (CRM\, UdeM) as part of Symplectic zoominar\n\n\nAbs
tract\nWe will explore certain \\(C^0\\)-rigidity and flexibility phenomen
a in the study of contact transformations. In particular\, we will show ho
w the dichotomy between contact squeezing and non-squeezing is related to
the Rokhlin property of the group of contact homeomorphisms. Assuming a mo
re quantitative viewpoint\, we will define new distances on the group of c
ontact homeomorphisms and show that\, in some cases\, they satisfy a form
of \\(C^0\\)-stability. A technical result behind this stability is \\(C^0
\\)-continuity of Sandon's spectral invariants. The talk is based on a joi
nt work with Baptiste Serraille.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/148/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierre-Alexandre Arlove (Strasbourg)
DTSTART:20250221T141500Z
DTEND:20250221T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/149
DESCRIPTION:Title: Contact non-squeezing in various closed prequantizations\nby Pi
erre-Alexandre Arlove (Strasbourg) as part of Symplectic zoominar\n\n\nAbs
tract\nI will describe and argue the existence of contact non-squeezing ph
enomena in contact lens spaces and in strongly orderable prequantizations.
\nThe proof is based on the construction of contact capacities coming
from spectral selectors defined on the contactomorphisms group of the lat
ter contact manifolds. I will define all these notions during my talk.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/149/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Richard Hind (Notre Dame)
DTSTART:20250214T141500Z
DTEND:20250214T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/150
DESCRIPTION:Title: Lagrangian intersections and the shape invariant\nby Richard Hi
nd (Notre Dame) as part of Symplectic zoominar\n\n\nAbstract\nWe will outl
ine the proof of an intersection result between embedded Lagrangian tori a
nd certain 1 parameter families of product Lagrangian tori in the 4 dimens
ional symplectic cylinder. The theorem can be applied to give new computat
ions of the shape invariant\, describing the Lagrangian tori in some toric
domains\, and therefore to produce symplectic embedding obstructions. Thi
s is joint work with Ely Kerman.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/150/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Noah Porcelli (Imperial)
DTSTART:20250321T131500Z
DTEND:20250321T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/151
DESCRIPTION:Title: Parametrised Whitehead torsion of families of nearby Lagrangians\nby Noah Porcelli (Imperial) as part of Symplectic zoominar\n\n\nAbstrac
t\nThe parametrised Whitehead torsion is an invariant of families of manif
olds\, and can be viewed as a map to an algebraic K-theory space. A strong
version of the nearby Lagrangian conjecture says that when applied to fam
ilies of closed exact Lagrangians in a cotangent bundle\, this invariant v
anishes.
\n Abouzaid and Kragh showed that in this case\, this m
ap lands in the trivial path component of the target\, i.e. is trivial on
$\\pi_0$. Using generating functions\, we find strong constraints on what
this map does to higher homotopy groups. I'll illustrate this with some co
ncrete consequences for the symplectic mapping class group of $T^*T^n$ rel
ative to the 0-section.
\n This is based on joint work-in-progre
ss with Sylvain Courte.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/151/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yin Li (Uppsala)
DTSTART:20250328T131500Z
DTEND:20250328T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/152
DESCRIPTION:Title: Persistence of unknottedness of Lagrangian intersect\nby Yin Li
(Uppsala) as part of Symplectic zoominar\n\n\nAbstract\nThe double bubble
plumbing\, first studied by Smith and Wemyss\, is a Stein neighborhood of
two Lagrangian 3-spheres intersecting cleanly along an unknotted circle i
n some 6-dimensional symplectic manifold. Depending on the identification
of the normal bundle of the unknot\, there are infinitely many such Stein
neighborhoods. We prove that there is no Hamiltonian isotopy of the Lagran
gian spheres in any of these Stein neighborhoods so that they become two s
pheres intersecting along a circle which is knotted in either component\,
contradicting what happens under smooth isotopies. The proof uses the exac
t Calabi-Yau structures on the wrapped Fukaya categories to classify spher
ical Lagrangians in double bubble plumbings. This is joint work with Johan
Asplund.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/152/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tara Holm (Cornell)
DTSTART:20250418T131500Z
DTEND:20250418T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/153
DESCRIPTION:Title: Equivariant cohomology and the (symplectic) diffeotype of complexit
y-one four-manifolds\nby Tara Holm (Cornell) as part of Symplectic zoo
minar\n\n\nAbstract\nIn this talk\, we will explore the relationship betwe
en the geometry and topology of a complexity-one four-manifold and the com
binatorial data that encode it. We will use a generators-and-relations de
scription for the even part of the equivariant cohomology of the manifold
to see what geometric aspects the equivariant cohomology determines. Name
ly\, it allows us to reconstruct the diffeotype but not the complex struct
ure. The talk will be driven by specific examples and pictures. It is bas
ed on joint work with Liat Kessler and Susan Tolman.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/153/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Ritter (Oxford)
DTSTART:20250509T131500Z
DTEND:20250509T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/154
DESCRIPTION:Title: Equivariant Floer theory for symplectic C*-manifolds\nby Alexan
der Ritter (Oxford) as part of Symplectic zoominar\n\n\nAbstract\nThe talk
will be on recent progress in a series of joint papers with Filip &Zcaron
\;ivanovi&cacute\;\, about a large class of non-compact symplectic manifol
ds\, which includes semiprojective toric manifolds\, quiver varieties\, an
d conical symplectic resolutions of singularities. These manifolds admit a
Hamiltonian circle action which is part of a pseudo-holomorphic action of
a complex torus. The symplectic form on these spaces is highly non-exact\
, yet we can make sense of Hamiltonian Floer cohomology for functions of t
he moment map of the circle action. We showed that Floer theory induces a
filtration by ideals on quantum cohomology. I will explain recent progress
on equivariant Floer cohomology for these spaces\, in which case we obtai
n a filtration on equivariant quantum cohomology. If time permits\, I will
also mention a presentation of symplectic cohomology and quantum cohomolo
gy for semiprojective toric manifolds.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/154/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vinicius Ramos (IMPA)
DTSTART:20250425T131500Z
DTEND:20250425T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/155
DESCRIPTION:Title: Integrable systems and toric contact forms on $\\mathbb{RP}^3$\
nby Vinicius Ramos (IMPA) as part of Symplectic zoominar\n\n\nAbstract\nIt
is well-known that the geodesic flow on ellipsoids of revolution is integ
rable. In joint work with Ferreira and Vicente\, we used this fact to obta
in a symplectomorphism between the unit disk bundle of such an ellipsoid w
ithout fiber and a toric domain. In this talk\, I will explain this result
and how we can also obtain a symplectomorphism between the whole unit dis
k bundle and a toric filling of \\(\\mathbb{RP}^3\\)\, which can be concav
e or convex depending on the original ellipsoid. I will also explain how t
o generalize this idea to other situations.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/155/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexia Corradini (Cambridge)\; Ibrahim Trifa (ETH)\; Stefan Matije
vić (Bochum)
DTSTART:20250411T131500Z
DTEND:20250411T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/156
DESCRIPTION:Title: Three 20min research talks\nby Alexia Corradini (Cambridge)\; I
brahim Trifa (ETH)\; Stefan Matijević (Bochum) as part of Symplectic zoom
inar\n\n\nAbstract\n-----\n\nI. Alexia Corradini (Cambridge)\n\nTitle: The
Lagrangian Ceresa cycle\n\nAbstract: In algebraic geometry\, the Ceresa c
ycle provided one of the first examples of a nullhomologous cycle which is
not algebraically trivial. I will explain how one can obtain a mirror sta
tement about the Lagrangian Ceresa cycle\, a nullhomologous Lagrangian liv
ing in a symplectic six-torus. This requires introducing a new equivalence
relation on Lagrangians in a symplectic manifold\, algebraic Lagrangian c
obordism\, inspired by algebraic equivalence. \n\n-----\n\nII. Ibrahim Tri
fa (ETH)\n\nTitle: A local quasimorphism property for link spectral invari
ants\n\nAbstract: Given a finite collection of disjoint Lagrangian circles
on a symplectic surface satisfying some area constraints\, Cristofaro-Gar
diner\, Humiliè\;re\, Mak\, Seyfaddini and Smith define a link spect
ral invariant\, by computing the Lagrangian Floer homology of the product
of the circles inside the symmetric product of the surface. When the surfa
ce is the sphere\, this spectral invariant is a quasimorphism\, however th
is is not the case for higher genus surfaces. In this talk\, I will show t
hat the link spectral invariants on higher genus surfaces are local quasim
orphisms\, i.e. that their restriction to Hamiltonian diffeomorphisms supp
orted in any given topological disc inside the surface is a quasimorphism.
This is a joint work with Cheuk Yu Mak.\n\n-----\n\nIII. Stefan Matijevi
ć (Bochum)\n\nTitle: Systolic \\(S^1\\)-index and characterization of non
-smooth Zoll convex bodies\n\nAbstract: We define the systolic $S^1$-index
of a convex body as the Fadell–Rabinowitz index of the space of central
ized generalized systoles associated with its boundary. We show that this
index is a symplectic invariant. Using the systolic $S^1$-index\, we propo
se a definition of generalized Zoll convex bodies and prove that this defi
nition is equivalent to the usual one in the smooth setting. Moreover\, we
show how generalized Zoll convex bodies can be characterized in terms of
their Gutt–Hutchings capacities and we prove that the space of generaliz
ed Zoll convex bodies is closed in the space of all convex bodies. As a co
rollary\, we establish that if the interior of a convex body is symplectom
orphic to the interior of a ball\, then such a convex body must be general
ized Zoll\, and in particular Zoll if its boundary is smooth.\n\n-----\n
LOCATION:https://researchseminars.org/talk/SympZoominar/156/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joé Brendel (ETH)
DTSTART:20250523T131500Z
DTEND:20250523T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/157
DESCRIPTION:Title: Markov staircases\nby Joé Brendel (ETH) as part of Symplectic
zoominar\n\n\nAbstract\nIn this talk\, we will discuss new infinite symple
ctic staircases. Much recent progress has been made in the study of infini
te symplectic staircases arising from embedding problems of standard ellip
soids into various symplectic four-manifolds. We study new embedding probl
ems\, where the domains are "ellipsoid-like" neighbourhoods of Lagrangian
pinwheels instead of standard ellipsoids. Using almost toric fibrations\,
we show that every Lagrangian pinwheel in the complex projective plane (an
d thus every Markov number) has an infinite symplectic staircase. This is
joint work with Jonny Evans\, Johannes Hauber and Felix Schlenk.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/157/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rémi Leclercq (Paris)
DTSTART:20250502T131500Z
DTEND:20250502T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/158
DESCRIPTION:Title: Local persistence of Lagrangian intersections\nby Rémi Leclerc
q (Paris) as part of Symplectic zoominar\n\n\nAbstract\nGiven a Lagrangian
$L$\, I will discuss the existence of a neighborhood $W$ of $L$ with the
following property: for any Hamiltonian diffeomorphism $f$\, if $f(L)$ is
contained inside $W$\, then $f(L)$ intersects $L$.\n\nOn the one hand\, fo
r any symplectic manifold of dimension at least 6\, I will construct Lagra
ngians which do not admit any such neighborhoods. On the other hand\, I wi
ll give conditions which ensure the existence of such neighborhoods for a
large class of Lagrangians. These conditions actually ensure the exactness
of certain nearby Lagrangians\, and I will discuss further applications o
f this phenomenon. This is based on joint work with Marcelo Atallah\, Jean
-Philippe Chassé\, and Egor Shelukhin.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/158/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Basak Gurel (UCF)
DTSTART:20250530T131500Z
DTEND:20250530T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/159
DESCRIPTION:Title: Towards the HZ- and multiplicity conjectures for dynamically convex
Reeb flows\nby Basak Gurel (UCF) as part of Symplectic zoominar\n\n\n
Abstract\nIn this talk we discuss the multiplicity question for prime clos
ed orbits of a dynamically convex Reeb flow on the boundary of a 2n-dimens
ional star-shaped domain. Our first main result asserts that such a flow h
as at least n prime closed Reeb orbits\, settling a conjecture which is us
ually attributed to Ekeland. The second main theorem is that when\, in add
ition\, the domain is centrally symmetric and the Reeb flow is non-degener
ate\, the flow has either exactly n or infinitely many prime closed orbits
. This is a higher-dimensional contact variant of Franks' celebrated 2-or-
infinity theorem and\, viewed from the symplectic dynamics perspective\, s
ettles a particular case of the contact Hofer-Zehnder conjecture. The talk
is based on a joint work with Erman Cineli and Viktor Ginzburg.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/159/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Roman Krutowski (UCLA)
DTSTART:20250516T131500Z
DTEND:20250516T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/160
DESCRIPTION:Title: Morse theory of loop spaces and Hecke algebras\nby Roman Krutow
ski (UCLA) as part of Symplectic zoominar\n\n\nAbstract\nOne can associate
an HDHF (symmetric) wrapped Fukaya category to a Liouville domain by coun
ting higher genus curves\, which are required to be branched covers. For t
he cotangent bundle of an orientable surface with genus at least one Honda
\, Tian\, and Yuan showed that the \\(A_\\infty\\)-algebra associated wit
h k disjoint cotangent fibers is quasi-equivalent to the HOMFLY-PT braid s
kein algebra of the surface.\n\nIn this talk\, I will present a Morse-theo
retic model that computes the HDHF \\(A_\\infty\\)-algebra of k fibers of
the cotangent bundle of an orientable smooth manifold. We use this model t
o describe the \\(A_\\infty\\)-algebra of k cotangent fibers of the two-di
mensional sphere\, and show that it is quasi-equivalent to a certain dga.
This talk is based on a joint work with Honda\, Tian\, and Yuan.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/160/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shuo Zhang (MCM)\; Kifung Chan (CUHK)\; May Sela (HUJI)
DTSTART:20250613T131500Z
DTEND:20250613T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/161
DESCRIPTION:Title: Three 20min research talks\nby Shuo Zhang (MCM)\; Kifung Chan (
CUHK)\; May Sela (HUJI) as part of Symplectic zoominar\n\n\nAbstract\n----
-\n\nI. Shuo Zhang (MCM)\n\nTitle: Composed Dehn twist exact
sequence through quilts and \\((A_\\infty\, n)\\) modules\n\nAbstract:
We prove the quilted Floer cochain complexes form \\( (A_\\infty\, n)
\\) modules over the Fukaya category \\(Fuk(M \\times M^-)\\). Then we pro
ve that when we restrict the input to mapping cones of product Lagrangians
and graphs\, the resulting bar-type complex can be identified with bar co
mplex from ordinary Floer theory. As an application we prove two long exac
t sequences conjectured by Seidel that relates the Lagrangian Floer cohomo
logy of a collection of (possibly intersecting) Lagrangian spheres \\({L_i
}\\) and the fixed point Floer cohomology of composed Dehn twists \\(\\tau
_{L_1} \\circ \\cdots \\tau_{L_n}\\) along them. \n\n-----\n\nII. Kifun
g Chan (CUHK)\n\nTitle: Mirror symmetry of nonabelian group act
ions\n\nAbstract:\nThis talk is based on joint work with Naichung C
onan Leung. We study the mirror symmetry of nonabelian group actions on sy
mplectic manifolds. We show that the presence of a nonabelian symmetry imp
oses constraints on non-displaceable Lagrangian branes. This work is motiv
ated by our earlier proposal to understand 3d mirror symmetry via SYZ-type
transforms.\n\n-----\n\nIII. May Sela (HUJI)\n\nTitle: Mirr
or symmetry for open Gromov–Witten invariants of Fano manifolds\n\nAb
stract: In this talk\, I will introduce a class of numerical invariant
s associated with matrix factorizations\, constructed to mirror open Gromo
v–Witten invariants. Matrix factorizations are algebraic objects expecte
d to correspond\, under mirror symmetry\, to Lagrangian submanifolds in Fa
no manifolds. I will describe the non-Archimedean framework required for d
efining these invariants and present results concerning their structure. T
his is joint work with J. Solomon.\n\n-----\n
LOCATION:https://researchseminars.org/talk/SympZoominar/161/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jacopo Stoppa (SISSA\, Trieste)
DTSTART:20250620T131500Z
DTEND:20250620T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/162
DESCRIPTION:Title: A toric case of the Thomas-Yau conjecture\nby Jacopo Stoppa (SI
SSA\, Trieste) as part of Symplectic zoominar\n\n\nAbstract\nWe consider a
class of Lagrangian sections L contained in certain Calabi-Yau Lagrangian
fibrations (mirrors of toric weak Fano manifolds). We prove that a form o
f the Thomas-Yau conjecture holds in this case: L is Hamiltonian isotopic
to a special Lagrangian section in this class if and only if a stability c
ondition holds\, in the sense of a slope inequality on objects in a set of
exact triangles in the Fukaya-Seidel category. This agrees with general p
roposals by Li. Under more restrictive assumptions\, this result can be us
ed to show a precise relation with Bridgeland stability\, as predicted by
Joyce. Based on arXiv:2505.07228.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/162/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Hutchings (Berkeley)
DTSTART:20251017T131500Z
DTEND:20251017T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/163
DESCRIPTION:Title: Reeb orbits frequently intersecting a symplectic surface\nby Mi
chael Hutchings (Berkeley) as part of Symplectic zoominar\n\n\nAbstract\nC
onsider a symplectic surface in a three-dimensional contact manifold with
boundary on Reeb orbits. We assume that the rotation numbers of the bounda
ry Reeb orbits satisfy a certain inequality\, and we also make a technical
assumption that the Reeb vector field has a particular "nice" form near t
he boundary of the surface. We then show that there exist Reeb orbits whic
h intersect the interior of the surface\, with a lower bound on the freque
ncy of these intersections in terms of the symplectic area of the surface
and the contact volume of the three-manifold. No genericity of the contact
form is assumed. The proof uses "elementary" spectral invariants of conta
ct three-manifolds. An application of this result gives a very general rel
ation between mean action and the Calabi invariant for area-preserving sur
face diffeomorphisms.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/163/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Filip Broćić (Augsburg)
DTSTART:20251024T131500Z
DTEND:20251024T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/164
DESCRIPTION:Title: Arnol’d’s chord conjecture for conormal Legendrian lifts\nb
y Filip Broćić (Augsburg) as part of Symplectic zoominar\n\n\nAbstract\n
The chord conjecture\, due initially to Arnol’d in the case of the stand
ard\ncontact three-sphere\, asserts the existence of a Reeb chord with bou
ndary on every\nclosed Legendrian submanifold of a closed contact manifold
for every contact form.\nThis conjecture was established in various setti
ngs by Cieliebak\, Mohnke\, Hutchings\nand Taubes\, and others. In this ta
lk\, I will sketch a proof of the chord conjecture for\nconormal bundles o
f closed submanifolds of any closed manifold seen as Legendrians\nin the c
o-sphere bundle. This generalizes a result of Grove in Riemannian geometry
\nregarding the existence of geodesics normal to the submanifold. The meth
od of\nproof involves wrapped Floer cohomology with local coefficients. Th
is talk is based\non joint work with Dylan Cant and Egor Shelukhin.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/164/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shah Faisal (IRMA\, Strasbourg)
DTSTART:20251114T141500Z
DTEND:20251114T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/165
DESCRIPTION:Title: Extremal Lagrangian tori in toric domains\nby Shah Faisal (IRMA
\, Strasbourg) as part of Symplectic zoominar\n\n\nAbstract\nThe symplecti
c area of a Lagrangian submanifold $L$ in a symplectic manifold is defined
as the minimal positive symplectic area of a smooth 2-disk with boundary
on $L$. A Lagrangian torus is called extremal if it maximizes the symplect
ic area among all Lagrangian tori. I will explain that every extremal Lagr
angian torus in the standard symplectic unit ball is entirely contained in
the boundary of the ball. This result confirms a conjecture of Cieliebak
and Mohnke in the affirmative. (Ref: arXiv:2504.13076)\n
LOCATION:https://researchseminars.org/talk/SympZoominar/165/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Baptiste Serraille (ETH)\; Spencer Cattalani (Stony Brook)\; Giova
nni Ambrosioni (ETH)
DTSTART:20251031T131500Z
DTEND:20251031T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/166
DESCRIPTION:Title: Three 20min research talks\nby Baptiste Serraille (ETH)\; Spenc
er Cattalani (Stony Brook)\; Giovanni Ambrosioni (ETH) as part of Symplect
ic zoominar\n\n\nAbstract\n-----\n\nI. Baptiste Serraille (ETH)\n\n
Title: On a linear combination of link spectral invariants on the s
phere\n\nAbstract: Link spectral invariants and their homogenizatio
ns have been defined by Cristofaro-Gardiner et.al. In joint work with Ibra
him Trifa\, we define a linear combination of such quasimorphism and show
that it vanishes on the stabilizer of the equator in $S^2$. We will discus
s this result and how it relates to the\, still open\, equator conjecture.
\n\n-----\n\nII. Spencer Cattalani (Stony Brook)\n\nTitle: A
hlfors currents and symplectic non-hyperbolicity\n\nAbstract: Ratio
nal curves are one of the main tools in symplectic geometry and provide a
bridge to algebraic geometry. Complex lines are a more general class of cu
rve that has the potential to connect symplectic and complex analytic geom
etry. These curves are non-compact\, which presents a serious difficulty i
n understanding their symplectic aspects. In this talk\, I will explain ho
w Ahlfors currents can be used to resolve this difficulty and produce a th
eory parallel to that of rational curves. In particular\, Ahlfors currents
can be constructed via a continuity method\, they control bubbling of hol
omorphic curves\, and they form a convex set.\n\n-----\n\nIII. Giovanni
Ambrosioni (ETH)\n\nTitle: Approximability for Lagrangian subm
anifolds\n\nAbstract: In this talk I will introduce a new notion of
approximability for metric spaces that can be seen as a categorification
of a concept introduced by Turing for metric groups and as a generalizatio
n of total-boundedness. I will explain how recent technological advances i
n symplectic topology and persistence category theory allow us to talk abo
ut approximablity of spaces of Lagrangian submanifolds and discuss applica
tions to rigidity and complexity of Lagrangians\, as well as potential rel
ations to open problems in Lagrangian topology. This talk is based on join
t work with Paul Biran and Octav Cornea.\n\n-----\n
LOCATION:https://researchseminars.org/talk/SympZoominar/166/
END:VEVENT
BEGIN:VEVENT
SUMMARY:John Miller (UdeM)\; Julio Sampietro Christ (Paris)\; Salammbo Con
nolly (Paris)
DTSTART:20251128T141500Z
DTEND:20251128T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/167
DESCRIPTION:Title: Three 20min research talks\nby John Miller (UdeM)\; Julio Sampi
etro Christ (Paris)\; Salammbo Connolly (Paris) as part of Symplectic zoom
inar\n\n\nAbstract\n-----\n\nI. TBD\n\n\n\n-----\n\nII. Julio Sampietro Christ (Paris)
\n\nTitle: Equivariant Lagrangian non-displacements\n\nAbstract:
Lagrangian Floer theory is useful to detect non-displaceability of La
grangian submanifolds via Hamiltonian isotopies. A related question\, in t
he presence of a group action\, is whether a certain Lagrangian is equivar
iantly displaceable\, that is by a Hamiltonian isotopy that commutes with
a group action. I will address this question in certain settings where the
group is $\\mathbb{Z}_2$\, the key example being $S^1$-invariant Lagrangi
ans in $\\mathbb{C}^n$\, by developing a $\\mathbb{Z}_2$-equivariant Floer
cohomology in the spirit of Seidel's construction and computing it using
Biran-Khanevsky's Floer-Euler class. This is joint work with Dylan Cant.\n
\n\n-----\n\nIII. Salammbo Connolly (Paris)\n\nTitle: Contin
uation maps for the Morse fundamental group\n\nAbstract: Given a Mo
rse-Smale pair on a manifold \\(M\\)\, it is possible to entirely recover
its fundamental group in a combinatorial manner. We call this construction
the Morse fundamental group. Motivated by a similar construction of a «
Floer fundamental group » by Barraud\, and by the many uses of continuati
on maps in symplectic topology\, I will explain in this talk how continuat
ion maps give us functoriality and invariance of the Morse fundamental gro
up\, and what the differences are with the usual homological setup.\n\n---
--\n
LOCATION:https://researchseminars.org/talk/SympZoominar/167/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicki Magill (Berkeley)
DTSTART:20251212T141500Z
DTEND:20251212T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/168
DESCRIPTION:Title: Generalized convex toric domains and symplectic embedding problems<
/a>\nby Nicki Magill (Berkeley) as part of Symplectic zoominar\n\n\nAbstra
ct\nA convex toric domain $X_\\Omega$ is a 4-dimensional subset of $\\math
bb{R}^4$\, defined as the preimage of a bounded convex region $\\Omega$ in
the positive quadrant of $\\mathbb{R}^2$ under the moment map. We conside
r how geometric features of $\\Omega$ such as the curviness of its boundar
y and its affine perimeter impact symplectic packing problems. Some of our
results come from considering the asymptotics of the ECH capacities. Thes
e capacities are known to obey a Weyl law and thus detect the volume of $X
_\\Omega$. We show that their subleading asymptotics detect the affine per
imeter of $\\Omega$. We’ll discuss how these asymptotic results lead to
new applications in symplectic embedding problems. This is based on joint
work with Dan Cristofaro-Gardiner and Dusa McDuff.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/168/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Oliver Edtmair (ETH)
DTSTART:20260116T141500Z
DTEND:20260116T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/169
DESCRIPTION:Title: On the topological invariance of helicity\nby Oliver Edtmair (E
TH) as part of Symplectic zoominar\n\n\nAbstract\nHelicity is an invariant
of divergence free vector fields on a three-manifold. One of its fundamen
tal properties is invariance under volume preserving diffeomorphisms. Arno
ld\, having derived an ergodic interpretation of helicity as an asymptotic
Hopf invariant\, asked whether helicity remains invariant under volume pr
eserving homeomorphisms\, and more generally\, whether it admits an extens
ion to topological volume preserving flows. In this talk\, I will present
an affirmative answer to both questions for non-singular flows. The proof
draws on recent advances in $C^0$ symplectic geometry\, in particular rega
rding the algebraic structure of the group of area preserving homeomorphis
ms\, which I will also survey. This is based on joint work with Sobhan Sey
faddini.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/169/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierre-Alexandre Arlove (Strasbourg)
DTSTART:20251219T141500Z
DTEND:20251219T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/170
DESCRIPTION:Title: Invariant distances on Legendrian spaces\nby Pierre-Alexandre A
rlove (Strasbourg) as part of Symplectic zoominar\n\n\nAbstract\nI will be
gin by motivating the study of invariant distances on spaces of Legendrian
s. I will then discuss two main results:
\n(a) the construction of a n
ew unbounded invariant distance on the universal cover of many Legendrian
isotopy classes \;
\n(b) the discreteness of any invariant distance on
Legendrian isotopy classes.\n\nIn particular\, we will see that (a) arise
s from contact rigidity\, whereas (b) follows from contact flexibility.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/170/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vincent Humilière (Paris)
DTSTART:20251121T141500Z
DTEND:20251121T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/171
DESCRIPTION:Title: Higher dimensional Birkhoff attractors\nby Vincent Humilière (
Paris) as part of Symplectic zoominar\n\n\nAbstract\nThe Birkhoff attracto
r is a closed invariant subset associated with any dissipative twist map o
f the annulus (of dimension 2)\, which was introduced by Birkhoff in 1932.
We will see that it can be generalized to higher dimensions using tools f
rom symplectic topology\, namely the spectral distance and the gamma-suppo
rt. This is based on joint work with Marie-Claude Arnaud and Claude Viterb
o.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/171/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elad Kosloff (HUJI)\; Joel Schmitz (Neuchâtel)
DTSTART:20260123T141500Z
DTEND:20260123T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/172
DESCRIPTION:Title: Two 20min research talks\nby Elad Kosloff (HUJI)\; Joel Schmitz
(Neuchâtel) as part of Symplectic zoominar\n\n\nAbstract\n-----\n\nI. El
ad Kosloff (HUJI) \n\nTitle: Open Gromov-Witten invariants for even
-dimensional Lagrangians\n\nAbstract:\nI'll introduce the genus zer
o open Gromov-Witten invariants for even-dimensional Lagrangians. The defi
nition relies on a canonical family of bounding cochains satisfying the po
int-like condition of Solomon-Tukachinsky\, with non-commutative coefficie
nts. In dimension two\, these recover Welschinger's invariants. I'll also
present computations for even dimensional quadric hypersurfaces\, demonstr
ating that these invariants can be non-vanishing in high dimensions with m
ultiple boundary constraints.\n\n-----\n\nII. Joel Schmitz (Neuchâtel)\n\
nTitle: Tropical wave-fronts & nodal tangles\n\nAbstract:\nG
iven a symplectic 4-manifold it may admit multiple toric fibrations. These
can be seen as boundary points of the moduli space of almost toric fibrat
ions. We will sketch that all toric fibrations are in the same connected c
omponent of this moduli space\, as suggested by Symington. For this we use
some results from tropical geometry. \n\n-----\n
LOCATION:https://researchseminars.org/talk/SympZoominar/172/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pranav Chakravarthy (ULB)
DTSTART:20260130T141500Z
DTEND:20260130T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/173
DESCRIPTION:Title: Non-squeezing and other rigidity results in LCS geometry\nby Pr
anav Chakravarthy (ULB) as part of Symplectic zoominar\n\n\nAbstract\nLoca
lly conformally symplectic (LCS) manifolds are generalisations of symplect
ic manifolds where the 2-form is not closed but instead satisfies the iden
tity $d\\omega= \\eta \\wedge \\omega$ for a closed 1-form $\\eta$. The st
udy of these manifolds is equivalent to that of symplectic manifolds when
$\\eta$ is exact\; however\, they resemble the behaviour of contact manifo
lds when $\\eta$ has no zeroes. Using the theory of generating functions f
or Lagrangians in the twisted cotangent bundle\, we define spectral select
ors for Hamiltonian LCS diffeomorphisms of $S^1 \\times \\mathbb{R}^{2n} \
\times S^1$ and $S^1 \\times \\mathbb{R}^{2n+1}$ and a LCS capacity for do
mains in $S^1 \\times \\mathbb{R}^{2n} \\times S^1$\, thereby giving us a
version of the non-squeezing theorem on this manifold. Time permitting\, w
e shall also see how we can define a partial order on the group of compact
ly supported LCS Hamiltonian diffeomorphisms on $S^1 \\times \\mathbb{R}^{
2n} \\times S^1$ and $S^1 \\times \\mathbb{R}^{2n+1}$ and a bi-invariant
metric on the group of compactly supported LCS Hamiltonian diffeomorphisms
of $S^1 \\times \\mathbb{R}^{2n} \\times S^1$. This is joint work with M
élanie Bertelson and Margherita Sandon.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/173/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhijing Wendy Wang (Chicago)
DTSTART:20260213T141500Z
DTEND:20260213T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/174
DESCRIPTION:Title: Complexity of Hofer’s geometry in some higher dimensional manifol
ds\nby Zhijing Wendy Wang (Chicago) as part of Symplectic zoominar\n\n
\nAbstract\nThe group of Hamiltonian diffeomorphisms \\(Ham(M\, ω)\\)\, e
quipped with the Hofer metric \\(d_H\\)\, is a central object in symplecti
c topology. A landmark result by Polterovich and Shelukhin established the
profound geometric complexity of this group for surfaces and their produc
ts\, showing that high powers are sparse in the metric space. More recentl
y\, Álvarez-Gavela et al. demonstrated that the free group embeds quasi-i
sometrically into Ham of surfaces\, revealing its large-scale non-commutat
ivity.\n\nIn this talk\, I will review these results and present a general
ization to some higher-dimensional symplectic manifolds\, including surfac
e bundles. We prove robust obstructions that prevent a Hamiltonian diffeom
orphism from being a \\(k\\)-th power (for \\(k ≥ 2\\)) or from being em
bedded in a flow. We also show that every asymptotic cone of \\((Ham(M\,
ω)\, d_H)\\) for our higher-dimensional manifolds contains an embedded fr
ee group.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/174/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emilia Konrad (Augsburg)\, Levin Maier (Heidelberg)\, Ciprian Bonc
iocat (Stanford)
DTSTART:20260227T141500Z
DTEND:20260227T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/175
DESCRIPTION:Title: Three 20min research talks\nby Emilia Konrad (Augsburg)\, Levin
Maier (Heidelberg)\, Ciprian Bonciocat (Stanford) as part of Symplectic z
oominar\n\n\nAbstract\n-----\n\nI. Emilia Konrad (Augsburg)\n\nTitle: Construction of constrained Floer homology\n\nAbstract:\nWe cons
ider the symplectic area functional\, constrained to loops of vanishing Ha
miltonian mean value: It has the same critical points as the Rabinowitz ac
tion functional\, and can be used to define a similar Floer homology. In c
ontrast to RFH\, it admits an intrinsic product structure\, but also invol
ves a non-local term in the gradient flow equation.
\nThis talk will d
elve into the Fredholm and compactness results required to define CFH\, an
d also discuss some remaining „mysteries“. \n\n-----\n\nII. Levin Maie
r (Heidelberg)\n\nTitle:\nFrom geometric ydrodynamics to periodic g
eodesics on manifolds of mappings\n\nAbstract:\nIn this talk\, we b
egin by recalling Arnold’s geometric formulation of hydrodynamics and th
en extend this framework to a broader class of Hamiltonian systems\, incor
porating various PDEs arising in mathematical physics. This motivates the
study of infinite-dimensional manifolds and\, in particular\, half Lie gro
ups: topological groups in which right multiplication is smooth while left
multiplication is only continuous. Important examples include groups of \
\(H^{s}\\)- or \\(C^{k}\\)-diffeomorphisms of compact manifolds.\n
\nWithin this setting\, we establish several Hopf–Rinow type theorems
for right-invariant magnetic systems and for certain Lagrangian systems on
half Lie groups\, thereby extending recent results of Bauer–Harms–Mic
hor from the case of geodesic flows to this more general context. Finally\
, we show that any non-aspherical half Lie group equipped with a strong Ri
emannian metric necessarily admits a contractible periodic geodesic.\n
\nThis talk is based partially on joint work with M. Bauer and F. Ru
scelli.\n\n\n-----\n\nIII. Ciprian Bonciocat (Stanford)\n\nTitle: D
egenerate Lagrangian intersections and parametric Floer homotopy theory\n\
n\n\nAbstract: \nIn this talk I will introduce the idea of Floer ho
motopy theory and show how it can be used to give lower bounds on degenera
te Lagrangian intersections\, in the case of plumbings of cotangent bundle
s along a submanifold. The strength of the invariant comes from incorporat
ing all additional choices involved in the construction of the stable homo
topy type\, resulting in a parameterized spectrum. The work is joint with
Kenneth Blakey. \n\n-----\n
LOCATION:https://researchseminars.org/talk/SympZoominar/175/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ko Honda (UCLA)
DTSTART:20260327T131500Z
DTEND:20260327T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/176
DESCRIPTION:Title: Higher-dimensional Heegaard Floer homology and spectral networks\nby Ko Honda (UCLA) as part of Symplectic zoominar\n\n\nAbstract\nLet $C
$ be a closed surface and $\\Sigma \\subset T^*C$ a real exact Lagrangian
surface associated to a spectral curve. In this talk we will first try to
explain the context of this work (e.g.\, Higgs bundles and spectral curve
s). We then construct a homomorphism from the $\\kappa$-strand braid skei
n algebra of $C$ to the $\\kappa$-strand matrix-valued braid skein algebra
of $\\Sigma$ via higher-dimensional Heegaard Floer homology (HDHF). Fina
lly we explore the adiabatic limit of this homomorphism\, which yields a h
ybrid count of HDHF-type holomorphic curves coupled with certain Morse gra
dient graphs\, called folded Morse trees. This is joint work with Tianyu
Yuan and Yin Tian.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/176/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Umberto Hryniewicz (RWTH Aachen)
DTSTART:20260220T141500Z
DTEND:20260220T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/177
DESCRIPTION:Title: Knot types of periodic Reeb orbits and their role in 4-dimensional
symplectic topology\nby Umberto Hryniewicz (RWTH Aachen) as part of Sy
mplectic zoominar\n\n\nAbstract\nThis talk\, which is based on two joint w
orks\, one with Pedro Salomão and Richard Siefring and another with Micha
el Hutchings and Vinicius Ramos\, revolves around the role that restrictio
ns on the knot types of periodic Reeb orbits imposed by the assumption of
dynamical convexity plays in 4-dimensional symplectic topology. For instan
ce\, for dynamically convex star-shaped domains in a 4-dimensional symplec
tic vector space\, the minimal action among periodic Reeb orbits in the bo
undary which are unknotted and have self-linking number -1\, called Hopf o
rbits\, satisfies the axioms of a normalized symplectic capacity. This sho
ws that this number is not larger than the cylindrical capacity. A result
of Edtmair establishes the other inequality\, and these two results combin
ed yield that the minimal action of a Hopf orbit is equal to the cylindric
al capacity of such a domain. We will discuss why is this equal to the fir
st ECH capacity\, which then explains the latter capacity in simple and pu
rely symplectic geometric terms\, with no need of Seiberg-Witten theory. W
e will also discuss why several transverse knot types in the standard cont
act 3-sphere cannot be realized as periodic Reeb orbits of a dynamically c
onvex contact form.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/177/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jonghyeon Ahn (IBS-CGP)
DTSTART:20260306T141500Z
DTEND:20260306T154500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/178
DESCRIPTION:Title: Barcode entropy and relative symplectic cohomology\nby Jonghyeo
n Ahn (IBS-CGP) as part of Symplectic zoominar\n\n\nAbstract\nIn this talk
\, I will discuss the barcode entropy—the exponential growth rate of the
number of not-too-short bars—of the persistence module associated with
the relative symplectic cohomology $SH_M(K)$ of a Liouville domain $K$ emb
edded in a symplectic manifold $M$. The main result establishes a quantita
tive link between this Floer-theoretic invariant and the dynamics of the R
eeb flow on $\\partial K$. More precisely\, I will explain that the barcod
e entropy of the relative symplectic cohomology $SH_M(K)$ is bounded above
by a constant multiple of the topological entropy of the Reeb flow on the
boundary of the domain\, where the constant depends on the embedding of $
K$ into $M$.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/178/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emmanuel Opshtein (Strasbourg)
DTSTART:20260320T131500Z
DTEND:20260320T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/179
DESCRIPTION:Title: Legendrian barriers\nby Emmanuel Opshtein (Strasbourg) as part
of Symplectic zoominar\n\n\nAbstract\nIn a previous work with Felix Schlen
k\, we showed that an analogue of the phenomenon of Lagrangian barriers ho
lds in the contact framework in \\(S^3\\) : there exist (explicit) Legendr
ian complexes of arcs in \\(S^3\\) that have short Reeb chords to many Leg
endrian loops. \n
\n The aim of this talk is to explain that thi
s phenomenon holds more generally in any prequantization bundle (of arbitr
ary dimension).\n
LOCATION:https://researchseminars.org/talk/SympZoominar/179/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marcelo Alves (Augsburg)
DTSTART:20260417T131500Z
DTEND:20260417T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/180
DESCRIPTION:Title: Polytopes and \\(C^0\\)-Riemannian metrics with positive topologica
l entropy\nby Marcelo Alves (Augsburg) as part of Symplectic zoominar\
n\n\nAbstract\nThe topological entropy of geodesic flows has been extensiv
ely studied since the foundational works of Dinaburg and Manning. It measu
res the exponential complexity of the geodesic flow of a Riemannian manifo
ld\, and there are several results connecting it to the geometry and topol
ogy of a Riemannian manifold. In this talk I will explain how recent resul
ts obtained jointly with Dahinden\, Meiwes\, and Pirnapasov can be used to
give a meaningful extension of the topological entropy to \\(C^0\\)-Riema
nnian metrics\; i.e. Riemannian metrics which are continuous but not neces
sarily differentiable. Similarly\, using contact geometry I will explain h
ow we can talk in a meaningful way about the topological entropy of convex
and starshaped polytopes in \\(\\mathbb{R}^4\\)\, thinking of them as \\(
C^0\\)-contact forms. This is joint work with Matthias Meiwes.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/180/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eric Kilgore (USC)
DTSTART:20260410T131500Z
DTEND:20260410T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/181
DESCRIPTION:Title: Equivariant contact Floer cohomology for quotient spaces\nby Er
ic Kilgore (USC) as part of Symplectic zoominar\n\n\nAbstract\nI will disc
uss some recent work establishing the orderability of contact manifolds wh
ich arise as a quotient of an aspherically fillable manifold by a finite g
roup action which extends (non-freely) to the filling. This generalizes th
e well known case of lens spaces. The main tool is a geometrically equivar
iant version of contact Floer cohomology parametrized by a higher categori
cal refinement of the Eliashberg—Polterovich relation on the contact iso
topy group\, which is locally constant away from the discriminant. This is
joint work with Dylan Cant and Jun Zhang.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/181/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stéphane Guillermou (Nantes)
DTSTART:20260424T131500Z
DTEND:20260424T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/182
DESCRIPTION:Title: Density of fibers for the filtered Fukaya category of a cotangent b
undle\nby Stéphane Guillermou (Nantes) as part of Symplectic zoominar
\n\n\nAbstract\nA well-known result of Abouzaid says that the wrapped Fuka
ya category of\na cotangent bundle is generated by one cotangent fiber. In
the filtered\ncase this is not true\, but the filtered Fukaya category co
mes with a\nnotion of interleaving distance. We will see that the iterate
d cones on\nthe cotangent fibers generate a dense subcategory. The proof m
akes use\nof an embedding of the Fukaya category in the category of sheave
s. This\nanswers a question of Biran\, who gave another proof with Ambrosi
oni and\nCornea.\n\nThis is a joint work with Claude Viterbo and Bingyu Zh
ang.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/182/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pedro Salomão (Shenzhen ICM)
DTSTART:20260508T131500Z
DTEND:20260508T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/183
DESCRIPTION:Title: ECH constraints and twist dynamics in the spatial isosceles three-b
ody problem\nby Pedro Salomão (Shenzhen ICM) as part of Symplectic zo
ominar\n\n\nAbstract\nIn this talk\, I will describe the global dynamics o
f the spatial isosceles three-body problem\, using ideas from Embedded Con
tact Homology. For energies below the critical level\, the flow admits a d
isk-like global surface of section bounded by the Euler orbit. I will expl
ain how estimates for the contact volume of the energy surface and for the
rotation number of the Euler orbit\, together with a refinement of Hutchi
ngs’ mean action theorem\, force the existence of infinitely many period
ic orbits and constrain their relative winding via a non-trivial twist int
erval. For energies above the critical level\, for which the energy surfac
e is unbounded\, I will briefly discuss how the twist near infinity leads
to the existence of infinitely many periodic and parabolic trajectories. T
his is joint work with Xijun Hu\, Lei Liu\, Yuwei Ou\, and Zhiwen Qiao.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/183/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Álvarez-Gavela
DTSTART:20260501T131500Z
DTEND:20260501T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/184
DESCRIPTION:Title: Legendrian and Lagrangian higher torsion\nby Daniel Álvarez-Ga
vela as part of Symplectic zoominar\n\n\nAbstract\nThe theory of higher Re
idemeister torsion yields characteristic classes of (stable) fiber bundles
of smooth manifolds. We use this theory to define a new family of invaria
nts for Legendrians in 1-jet spaces which we collectively call Legendrian
higher torsion. Any version of Legendrian higher torsion yields a Legendri
an isotopy invariant consisting of a collection of real cohomology classes
of the base manifold. For the class of tube bundles in the sense of Waldh
ausen we call the invariant tube torsion and we show that it consists of a
union of cosets of a suitably normalized version of the Pontryagin charac
ter. For a nearby Lagrangian (with stably trivial Gauss map) we moreover s
how that there is a distinguished coset which is a Hamiltonian isotopy inv
ariant and which we call nearby Lagrangian torsion. We do not know whether
nearby Lagrangians must have trivial higher torsion\, as would follow fro
m the nearby Lagrangian conjecture. Although we work with generating funct
ions\, the story has a Floer-theoretic counterpart and I will state some c
oncrete conjectures about the expected behavior of this theory. Joint work
with K. Igusa and M. Sullivan.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/184/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jun Zhang (USTC-IGP)
DTSTART:20260515T131500Z
DTEND:20260515T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/185
DESCRIPTION:Title: Geometry and dynamics of domains in the cotangent bundles of tori\nby Jun Zhang (USTC-IGP) as part of Symplectic zoominar\n\n\nAbstract\n
In Euclidean spaces\, star-shaped domains (also known as Liouville domains
) are fundamental objects in modern symplectic geometry. Several important
subclasses have been introduced and studied\, including dynamically conve
x domains\, geometrically convex domains\, and toric domains. These classe
s are not only interesting in their own right but also exhibit deep interr
elations. In this talk\, we extend this discussion to (fiberwise) star-sha
ped domains in the cotangent bundles of tori. In particular\, we introduce
analogous subclasses in this new setting and explore classical topics suc
h as large-scale geometric properties and embedding problems. This talk is
based on joint work with Antong Zhu.\n
LOCATION:https://researchseminars.org/talk/SympZoominar/185/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yoel Groman (HUJI)
DTSTART:20260612T131500Z
DTEND:20260612T144500Z
DTSTAMP:20260422T225848Z
UID:SympZoominar/186
DESCRIPTION:by Yoel Groman (HUJI) as part of Symplectic zoominar\n\nAbstra
ct: TBA\n
LOCATION:https://researchseminars.org/talk/SympZoominar/186/
END:VEVENT
END:VCALENDAR