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SUMMARY:Mohammad Abouzaid (Columbia University)
DTSTART;VALUE=DATE-TIME:20220228T010000Z
DTEND;VALUE=DATE-TIME:20220228T020000Z
DTSTAMP;VALUE=DATE-TIME:20240328T203956Z
UID:symplecticgeometry/1
DESCRIPTION:Title: Complex cobordism and Hamiltonian fibrations\nby Mohammad A
bouzaid (Columbia University) as part of IBS-CGP weekly zoom seminar (Spri
ng 2022)\n\n\nAbstract\nI will discuss joint work with McLean and Smith\,
lifting the results of Seidel\, Lalonde\, and McDuff concerning the topolo
gy of Hamiltonian fibrations over the 2-sphere from rational cohomology to
complex cobordism. In addition to the use of Morava K-theory (as in the r
ecent work with Blumberg on the Arnold Conjecture)\, the essential new ing
redient is the construction of global Kuranishi charts of genus 0 pseudo-h
olomorphic curves\; i.e. their realisation as quotients of zero loci of eq
uivariant vector bundles on manifolds\n
LOCATION:https://researchseminars.org/talk/symplecticgeometry/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthias Meiwes (RWTH Aachen University)
DTSTART;VALUE=DATE-TIME:20220328T080000Z
DTEND;VALUE=DATE-TIME:20220328T090000Z
DTSTAMP;VALUE=DATE-TIME:20240328T203956Z
UID:symplecticgeometry/3
DESCRIPTION:Title: Hofer's geometry and entropy\nby Matthias Meiwes (RWTH Aach
en University) as part of IBS-CGP weekly zoom seminar (Spring 2022)\n\n\nA
bstract\nA central object in the study of Hamiltonian diffeomorphisms on a
symplectic manifold is Hofer's metric\, a bi-invariant metric on the grou
p of Hamiltonian diffeomorphisms. In my talk\, I will address a question o
f Polterovich on the stability of topological entropy for Hamiltonian diff
eomorphisms with respect to Hofer's metric. I will focus on some results i
n dimension two. First I discuss examples for which positive entropy persi
sts under large perturbations. Then I present a braid stability result in
the context of Hofer's geometry\, and explain what it implies for the ques
tion of entropy stability. This is based on joint works with Arnon Chor\,
and Marcelo R.R. Alves.\n
LOCATION:https://researchseminars.org/talk/symplecticgeometry/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yong-Geun Oh (IBS-CGP)
DTSTART;VALUE=DATE-TIME:20220307T010000Z
DTEND;VALUE=DATE-TIME:20220307T020000Z
DTSTAMP;VALUE=DATE-TIME:20240328T203956Z
UID:symplecticgeometry/4
DESCRIPTION:Title: Gluing theories of contact instantons and of pseudoholomorphic
curves in symplectic buildings\nby Yong-Geun Oh (IBS-CGP) as part of I
BS-CGP weekly zoom seminar (Spring 2022)\n\n\nAbstract\nWe develop the glu
ing theory of contact instantons in the context of open strings and in the
context of closed strings with vanishing charge\, for example in the symp
lectization context. This is one of the key ingredients for the study of (
virtually) smooth moduli space of (bordered) contact instantons needed for
the construction of contact instanton Floer cohomology and more generally
for the construction of Fukaya-type category of Legendrian submanifolds i
n contact manifold. As an application\, we also apply this gluing theory t
o that of moduli spaces of holomorphic buildings arising in Symplectic Fie
ld Theory (SFT)\, by canonically lifting the former to that of the latter.
\n
LOCATION:https://researchseminars.org/talk/symplecticgeometry/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jongmyeong Kim (IBS-CGP)
DTSTART;VALUE=DATE-TIME:20220404T010000Z
DTEND;VALUE=DATE-TIME:20220404T020000Z
DTSTAMP;VALUE=DATE-TIME:20240328T203956Z
UID:symplecticgeometry/5
DESCRIPTION:Title: On Gromov-Yomdin type theorems and a categorical interpretation
of holomorphicity\nby Jongmyeong Kim (IBS-CGP) as part of IBS-CGP wee
kly zoom seminar (Spring 2022)\n\n\nAbstract\nIn topological dynamics\, th
e Gromov-Yomdin theorem states that the topological entropy of a holomorph
ic automorphism f of a smooth projective variety is equal to the logarit
hm of the spectral radius of the pullback f∗ induced on cohomology. In
order to establish a categorical analogue of the Gromov-Yomdin theorem\,
one first needs to find a categorical analogue of a holomorphic automorphi
sm. In this talk\, we propose a notion that categorifies and generalizes t
hat of a holomorphic automorphism and prove that the Gromov-Yomdin type th
eorem holds for them. The key is to make use of stability conditions and a
conjectural description of stability conditions on Fukaya category due to
Bridgeland and Joyce. This talk is based on a joint work with Federico Ba
rbacovi.\n
LOCATION:https://researchseminars.org/talk/symplecticgeometry/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Steven Sivek (Imperial College London)
DTSTART;VALUE=DATE-TIME:20220516T080000Z
DTEND;VALUE=DATE-TIME:20220516T090000Z
DTSTAMP;VALUE=DATE-TIME:20240328T203956Z
UID:symplecticgeometry/6
DESCRIPTION:by Steven Sivek (Imperial College London) as part of IBS-CGP w
eekly zoom seminar (Spring 2022)\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/symplecticgeometry/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yu-Shen Lin (Boston University)
DTSTART;VALUE=DATE-TIME:20220314T010000Z
DTEND;VALUE=DATE-TIME:20220314T020000Z
DTSTAMP;VALUE=DATE-TIME:20240328T203956Z
UID:symplecticgeometry/7
DESCRIPTION:Title: Enumerative Geometry of Del Pezzo Surfaces\nby Yu-Shen Lin
(Boston University) as part of IBS-CGP weekly zoom seminar (Spring 2022)\n
\n\nAbstract\nYZ conjecture predicts the Calabi-Yau manifolds admit specia
l Lagrangian fibrations near the large complex structure limits. The conje
cture indicates that the holomorphic curves in the collapsing special Lagr
angian fibrations converge to tropical curves and bridge the enumerative g
eometry to tropical geometry. In this talk\, we will explain how to count
Maslov index zero and two holomorphic discs with special Lagrangian bounda
ry conditions in del Pezzo surfaces. In particular\, we will provide two w
ays of producing superpotential for del Pezzo surfaces. As for some applic
ations\, one can achieve the folklore conjecture:\n1. the equivalence betw
een certain open Gromov-Witten invariants and the log Gromov-Witten invari
ants with maximal tangency in algebraic geometry for .\n2. Equivalence of
counting special Lagrangians in mirror and counting semi-stable sheaves on
. Part of the talk will be based on the joint work with S.-C. Lau\, T.-J.
Lee.\n
LOCATION:https://researchseminars.org/talk/symplecticgeometry/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Viktor Ginzburg (UC Santa Cruz)
DTSTART;VALUE=DATE-TIME:20220502T010000Z
DTEND;VALUE=DATE-TIME:20220502T020000Z
DTSTAMP;VALUE=DATE-TIME:20240328T203956Z
UID:symplecticgeometry/8
DESCRIPTION:by Viktor Ginzburg (UC Santa Cruz) as part of IBS-CGP weekly z
oom seminar (Spring 2022)\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/symplecticgeometry/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marco Castronovo (Columbia University)
DTSTART;VALUE=DATE-TIME:20220321T010000Z
DTEND;VALUE=DATE-TIME:20220321T020000Z
DTSTAMP;VALUE=DATE-TIME:20240328T203956Z
UID:symplecticgeometry/9
DESCRIPTION:Title: Polyhedral Liouville domains\nby Marco Castronovo (Columbia
University) as part of IBS-CGP weekly zoom seminar (Spring 2022)\n\n\nAbs
tract\nIn the early 2000s\, Hori-Vafa proposed a Landau-Ginzburg model on
a complex torus for any smooth toric Fano variety\, whose potential was la
ter interpreted in terms of Lagrangian Floer theory of a moment fiber by C
ho-Oh. More recent work of Rietsch gives a realistic Landau-Ginzburg model
for homogeneous varieties\, that however contains many complex torus char
ts. I will describe the first step of a program aimed at interpreting each
local potential in terms of Lagrangian Floer theory of a moment fiber in
a toric Fano variety with arbitrary singularities.\n
LOCATION:https://researchseminars.org/talk/symplecticgeometry/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erkao Bao (University of Minnesota)
DTSTART;VALUE=DATE-TIME:20220425T010000Z
DTEND;VALUE=DATE-TIME:20220425T020000Z
DTSTAMP;VALUE=DATE-TIME:20240328T203956Z
UID:symplecticgeometry/10
DESCRIPTION:Title: Equivariant Lagrangian Floer cohomology over integers via semi
-global Kuranishi structures\nby Erkao Bao (University of Minnesota) a
s part of IBS-CGP weekly zoom seminar (Spring 2022)\n\n\nAbstract\nI will
explain the definition of the equivariant Lagrangian Floer cohomology over
integers of a pair of Lagrangian submanifolds that are fixed under a fini
te symplectic group action and satisfy certain simplifying assumptions tha
t excludes bubbles. I will explain the usage of the semi-global Kuranishi
structures for the equivariant transversality issue. This is based on a jo
int work with Ko Honda.\n
LOCATION:https://researchseminars.org/talk/symplecticgeometry/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fumihiko Sanda (Nagoya University)
DTSTART;VALUE=DATE-TIME:20220509T010000Z
DTEND;VALUE=DATE-TIME:20220509T020000Z
DTSTAMP;VALUE=DATE-TIME:20240328T203956Z
UID:symplecticgeometry/11
DESCRIPTION:by Fumihiko Sanda (Nagoya University) as part of IBS-CGP weekl
y zoom seminar (Spring 2022)\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/symplecticgeometry/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cheol-Hyun Cho (Seoul National University)
DTSTART;VALUE=DATE-TIME:20220523T010000Z
DTEND;VALUE=DATE-TIME:20220523T020000Z
DTSTAMP;VALUE=DATE-TIME:20240328T203956Z
UID:symplecticgeometry/12
DESCRIPTION:by Cheol-Hyun Cho (Seoul National University) as part of IBS-C
GP weekly zoom seminar (Spring 2022)\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/symplecticgeometry/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nathan Ilten (Simon Fraser University)
DTSTART;VALUE=DATE-TIME:20220411T010000Z
DTEND;VALUE=DATE-TIME:20220411T020000Z
DTSTAMP;VALUE=DATE-TIME:20240328T203956Z
UID:symplecticgeometry/13
DESCRIPTION:Title: Mutations and flat families with toric fibers\nby Nathan I
lten (Simon Fraser University) as part of IBS-CGP weekly zoom seminar (Spr
ing 2022)\n\n\nAbstract\nMutation is a combinatorial operation on Laurent
polynomials related to mirror symmetry and wall-crossing. In this talk\, I
will discuss an old result of mine that connects mutation with deformatio
n theory: given a mutation from a Laurent polynomial f to g \, there is
a corresponding flat projective family over the projective line with the
toric varieties associated to the Newton polytopes of f and g appearin
g as special fibers. Time permitting\, I will also discuss recent related
work connecting mutation to wall-crossing between Newton-Okounkov bodies.\
n
LOCATION:https://researchseminars.org/talk/symplecticgeometry/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hyunmoon Kim (Seoul National University)
DTSTART;VALUE=DATE-TIME:20220418T010000Z
DTEND;VALUE=DATE-TIME:20220418T020000Z
DTSTAMP;VALUE=DATE-TIME:20240328T203956Z
UID:symplecticgeometry/14
DESCRIPTION:Title: Complex Lagrangian vector spaces and representations of the He
isenberg Lie algebra\nby Hyunmoon Kim (Seoul National University) as p
art of IBS-CGP weekly zoom seminar (Spring 2022)\n\n\nAbstract\nSmooth fun
ctions on a real vector space are representations of the abelian Lie algeb
ra of partial derivatives. In this talk\, we will pick up a classical pers
pective by Grossman and consider representations of the Heisenberg Lie alg
ebra as analogs of this object for suitably defined analytic functions on
a real symplectic vector space. A new feature is that there is a homogeneo
us space of choices rather than a distinguished choice for the representat
ion. We will describe this homogeneous space as the set of pairs of transv
erse complex Lagrangian subspaces\, and show how each pair gives a represe
ntation of the Heisenberg Lie algebra. We will show how different subsets
are associated with previously constructed families of representations by
Satake\, Grossman-Daubechies\, and Lion-Vergne. We will briefly discuss re
lations with Jacobi forms and information geometry in the two dimensional
case\, based on discussions with Gabriel Khan.\n
LOCATION:https://researchseminars.org/talk/symplecticgeometry/14/
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