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BEGIN:VEVENT
SUMMARY:Gao Chen (University of Wisconsin-Madison)
DTSTART;VALUE=DATE-TIME:20200909T200000Z
DTEND;VALUE=DATE-TIME:20200909T210000Z
DTSTAMP;VALUE=DATE-TIME:20201101T010238Z
UID:BUGeom/1
DESCRIPTION:Title: The J-equation\, dHYM equation\, and cscK metrics\nby G
ao Chen (University of Wisconsin-Madison) as part of Boston University Geo
metry/Physics Seminar\n\n\nAbstract\nThe deformed Hermitian-Yang-Mills (dH
YM) equation is the mirror equation for the special Lagrangian equation. T
he "small radius limit" of the dHYM equation is the J-equation\, which is
closely related to the constant scalar curvature K\\"ahler (cscK) metrics.
In this talk\, I will explain my recent result that the solvability of th
e J-equation is equivalent to a notion of stability. I will also explain
my similar result on the supercritical dHYM equation as well as the applic
ation of my results to the cscK problem.\n
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BEGIN:VEVENT
SUMMARY:Philip Engel (University of Georgia)
DTSTART;VALUE=DATE-TIME:20200916T200000Z
DTEND;VALUE=DATE-TIME:20200916T210000Z
DTSTAMP;VALUE=DATE-TIME:20201101T010238Z
UID:BUGeom/2
DESCRIPTION:Title: Compactification of K3 moduli\nby Philip Engel (Univers
ity of Georgia) as part of Boston University Geometry/Physics Seminar\n\n\
nAbstract\nBy the Torelli theorem\, the moduli space of lattice polarized
K3 surfaces is\nthe quotient of a Hermitian symmetric domain by an arithme
tic group. In this capacity\,\nit has compactifications such as the Baily-
Borel and toroidal compactifications\nwhich depend on some choice of fan.
On the other hand\, choosing canonically an ample\ndivisor on every such K
3\, one can build a compactification via so-called (KSBA) stable pairs.\nI
will discuss joint work with V. Alexeev on how one proves that the normal
ization of\na stable pair compactification of K3 moduli is the toroidal co
mpactification \nfor an appropriate choice of fan. We will focus on the ex
ample of elliptic K3s\, polarized\nby the section plus the sum of the sing
ular fibers.\n
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BEGIN:VEVENT
SUMMARY:Chris Woodward (Rutgers University)
DTSTART;VALUE=DATE-TIME:20200923T200000Z
DTEND;VALUE=DATE-TIME:20200923T210000Z
DTSTAMP;VALUE=DATE-TIME:20201101T010238Z
UID:BUGeom/3
DESCRIPTION:Title: Fukaya Categories of Blow-ups\nby Chris Woodward (Rutge
rs University) as part of Boston University Geometry/Physics Seminar\n\n\n
Abstract\nThis is joint work with Venugopalan and Xu. \nIn good cases\, we
construct split-generators for the Fukaya category of sufficiently small
symplectic blow-ups. For example\, for iterated blow-ups of projective sp
aces this implies an affirmative answer to Kontsevich's question on the re
lation \nbetween quantum cohomology and Hochschild cohomology of the Fukay
a category.\n
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BEGIN:VEVENT
SUMMARY:Hang Yuan (Stony Brook University)
DTSTART;VALUE=DATE-TIME:20200930T200000Z
DTEND;VALUE=DATE-TIME:20200930T210000Z
DTSTAMP;VALUE=DATE-TIME:20201101T010238Z
UID:BUGeom/4
DESCRIPTION:Title: Family Floer theory for toric manifolds\nby Hang Yuan (
Stony Brook University) as part of Boston University Geometry/Physics Semi
nar\n\n\nAbstract\nGiven a Lagrangian fibration\, my recent work gives a n
atural construction of a rigid analytic space and a global Landau-Ginzburg
potential\, based on Fukaya’s family Floer theory and non-archimedean g
eometry.\n In this talk\, I will discuss my work in progress\, which expla
ins how to apply this construction to the toric manifolds. Specifically\,
I will discuss the moment map fibration on a toric manifold and the Gross
’s fibration on a toric Calabi-Yau manifold. I will explain how the outc
omes are related to the previous works of Cho-Oh\, Fukaya-Oh-Ohta-Ono\, Ch
an-Lau-Leung\, and Abouzaid-Auroux-Katzarkov.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guangbo Xu (Texas A&M University)
DTSTART;VALUE=DATE-TIME:20201007T200000Z
DTEND;VALUE=DATE-TIME:20201007T210000Z
DTSTAMP;VALUE=DATE-TIME:20201101T010238Z
UID:BUGeom/5
DESCRIPTION:Title: Compactness of instantons and the Atiyah-Floer conjectu
re\nby Guangbo Xu (Texas A&M University) as part of Boston University Geom
etry/Physics Seminar\n\n\nAbstract\nThe Atiyah-Floer conjecture says that
the instanton Floer homology of a three-manifold (constructed via gauge th
eory) agrees with a Lagrangian Floer homology (constructed via symplectic
geometry) associated to a splitting of the manifold. Atiyah's heuristic ar
gument of this conjecture relies on a compactness result for instantons in
a certain adiabatic limit. I will present a proof of such a compact theor
em for the case when the gauge group is SO(3)\, as well as another compact
ness theorem related to bounding chains on the symplectic side.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Jordan (University of Edingburgh)
DTSTART;VALUE=DATE-TIME:20201014T200000Z
DTEND;VALUE=DATE-TIME:20201014T210000Z
DTSTAMP;VALUE=DATE-TIME:20201101T010238Z
UID:BUGeom/6
DESCRIPTION:Title: Cluster quantization of character stacks as a singular
topological field theory\nby David Jordan (University of Edingburgh) as pa
rt of Boston University Geometry/Physics Seminar\n\n\nAbstract\nCharacter
stacks are certain moduli spaces of G-local systems on a manifold\, which
arise naturally in both 4d N=4 Kapustin-Witten and 3d N=4 Sicilian gauge t
heories. Their quantizations relate to deforming the coupling parameter\,
and introducing omega-deformation\, respectively. Fock and Goncharov hav
e introduced a modification of character varieties\, in which the G-local
systems are decorated with parabolic reductions along fixed regions of the
surface\, and on these decorated character varieties they have exhibited
cluster structures. This means\, there is a family of open subsets\, inde
xed combinatorially\, on which the stack is actually an algebraic torus.
The transitions between charts are given by certain explicit birational tr
ansformations called mutations. Finally\, they have defined a quantization
of this structure\, which has a number of remarkable properties.\n\nIn th
is talk I will explain how to upgrade their construction to a fully extend
ed topological field theory using the framework of stratified factorizatio
n homology developed by Ayala-Francis-Tanaka.\n
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BEGIN:VEVENT
SUMMARY:Tudor Dimofte (University of California\, Davis/ University of Edi
ngurgh)
DTSTART;VALUE=DATE-TIME:20201021T200000Z
DTEND;VALUE=DATE-TIME:20201021T210000Z
DTSTAMP;VALUE=DATE-TIME:20201101T010238Z
UID:BUGeom/7
DESCRIPTION:Title: 3d A & B models\, mirror symmetry\, and HOMFLY homology
\nby Tudor Dimofte (University of California\, Davis/ University of Edingu
rgh) as part of Boston University Geometry/Physics Seminar\n\n\nAbstract\n
I will review some what's known about topological A and B twists of 3d N=4
supersymmetric gauge theories\, in particular the algebraic/categorical s
tructures that they contain. The physical duality known as 3d mirror symme
try exchanges 3d A and B twists\, and should manifest mathematically as a
higher analogue of homological mirror symmetry. I will then explain how th
ese ideas may be concretely applied to reproduce and connect several diffe
rent constructions of HOMFLY-PT homology (soon to appear in work with Garn
er\, Hilburn\, Oblomkov\, and Rozansky).\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Pomerleano (University of Massachusetts\, Boston)
DTSTART;VALUE=DATE-TIME:20201028T200000Z
DTEND;VALUE=DATE-TIME:20201028T210000Z
DTSTAMP;VALUE=DATE-TIME:20201101T010238Z
UID:BUGeom/8
DESCRIPTION:Title: Intrinsic Mirror Symmetry and Categorical Crepant Resol
utions\nby Daniel Pomerleano (University of Massachusetts\, Boston) as par
t of Boston University Geometry/Physics Seminar\n\n\nAbstract\nA general e
xpectation in mirror symmetry is that the mirror partner to an affine log
Calabi-Yau variety is "algebraically convex" (meaning it is proper over it
s affinization). We will describe work in progress which shows how this al
gebraic convexity of the mirror manifests itself directly as certain finit
eness properties of Floer theoretic invariants of X (the symplectic cohomo
logy and wrapped Fukaya category). As an application of these finiteness r
esults\, we will show that for maximally degenerate log Calabi-Yau varieti
es equipped with a ``homological section\," the wrapped Fukaya of X gives
an (intrinsic) categorical crepant resolution of the affine variety Spec($
SH^0(X)$).\n
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BEGIN:VEVENT
SUMMARY:Laura Fredrickson (University of Oregon)
DTSTART;VALUE=DATE-TIME:20201105T210000Z
DTEND;VALUE=DATE-TIME:20201105T220000Z
DTSTAMP;VALUE=DATE-TIME:20201101T010238Z
UID:BUGeom/9
DESCRIPTION:by Laura Fredrickson (University of Oregon) as part of Boston
University Geometry/Physics Seminar\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Angela Gibney (Rutgers University)
DTSTART;VALUE=DATE-TIME:20201111T210000Z
DTEND;VALUE=DATE-TIME:20201111T220000Z
DTSTAMP;VALUE=DATE-TIME:20201101T010238Z
UID:BUGeom/10
DESCRIPTION:by Angela Gibney (Rutgers University) as part of Boston Univer
sity Geometry/Physics Seminar\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jeff Hicks (Cambridge University)
DTSTART;VALUE=DATE-TIME:20201118T210000Z
DTEND;VALUE=DATE-TIME:20201118T220000Z
DTSTAMP;VALUE=DATE-TIME:20201101T010238Z
UID:BUGeom/11
DESCRIPTION:by Jeff Hicks (Cambridge University) as part of Boston Univers
ity Geometry/Physics Seminar\n\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBD
DTSTART;VALUE=DATE-TIME:20201202T210000Z
DTEND;VALUE=DATE-TIME:20201202T220000Z
DTSTAMP;VALUE=DATE-TIME:20201101T010238Z
UID:BUGeom/12
DESCRIPTION:by TBD as part of Boston University Geometry/Physics Seminar\n
\nAbstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hulya Arguz (University of Versailles - Paris Saclay)
DTSTART;VALUE=DATE-TIME:20201209T210000Z
DTEND;VALUE=DATE-TIME:20201209T220000Z
DTSTAMP;VALUE=DATE-TIME:20201101T010238Z
UID:BUGeom/13
DESCRIPTION:by Hulya Arguz (University of Versailles - Paris Saclay) as pa
rt of Boston University Geometry/Physics Seminar\n\nAbstract: TBA\n
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