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BEGIN:VEVENT
SUMMARY:Renzo Cavalieri (Colorado State University)
DTSTART:20200925T153000Z
DTEND:20200925T170000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/1
DESCRIPTION:Title: Tropical Psi Classes\nby Renzo Cavalieri (Colorado State Univers
ity) as part of UBC Vancouver Algebraic Geometry Seminar\n\nAbstract: TBA\
n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierrick Bousseau (ETH Zürich)
DTSTART:20201002T153000Z
DTEND:20201002T170000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/2
DESCRIPTION:Title: The skein algebra of the 4-punctured sphere from curve counting\
nby Pierrick Bousseau (ETH Zürich) as part of UBC Vancouver Algebraic Geo
metry Seminar\n\n\nAbstract\nThe Kauffman bracket skein algebra is a quant
ization of the algebra of regular functions on the SL_2 character variety
of a topological surface. I will explain how to realize the skein algebra
of the 4-punctured sphere as the output of a mirror symmetry construction
based on higher genus Gromov-Witten invariants of a log Calabi-Yau cubic s
urface. This leads to a proof of a previously conjectured positivity prope
rty of the bracelets bases of the skein algebras of the 4-punctured sphere
and of the 1-punctured torus.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tony Yue Yu (Université Paris-Sud\, Paris-Saclay)
DTSTART:20201009T153000Z
DTEND:20201009T170000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/3
DESCRIPTION:Title: Secondary fan\, theta functions and moduli of Calabi-Yau pairs\n
by Tony Yue Yu (Université Paris-Sud\, Paris-Saclay) as part of UBC Vanco
uver Algebraic Geometry Seminar\n\n\nAbstract\nWe conjecture that any conn
ected component Q of the moduli space of triples (X\,E=E1+⋯+En\,Θ) wher
e X is a smooth projective variety\, E is a normal crossing anti-canonical
divisor with a 0-stratum\, every Ei is smooth\, and Θ is an ample diviso
r not containing any 0-stratum of E\, is \\emph{unirational}. More precise
ly: note that Q has a natural embedding into the Kollár-Shepherd-Barron-A
lexeev moduli space of stable pairs\, we conjecture that its closure admit
s a finite cover by a complete toric variety. We construct the associated
complete toric fan\, generalizing the Gelfand-Kapranov-Zelevinski secondar
y fan for reflexive polytopes. Inspired by mirror symmetry\, we speculate
a synthetic construction of the universal family over this toric variety\,
as the Proj of a sheaf of graded algebras with a canonical basis\, whose
structure constants are given by counts of non-archimedean analytic disks.
In the Fano case and under the assumption that the mirror contains a Zari
ski open torus\, we construct the conjectural universal family\, generaliz
ing the families of Kapranov-Sturmfels-Zelevinski and Alexeev in the toric
case. In the case of del Pezzo surfaces with an anti-canonical cycle of (
−1)-curves\, we prove the full conjecture. The reference is arXiv:2008.0
2299 joint with Hacking and Keel.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yan Soibelman (Kansas State University)
DTSTART:20201016T153000Z
DTEND:20201016T170000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/4
DESCRIPTION:Title: Exponential integrals\, Holomorphic Floer theory and resurgence\
nby Yan Soibelman (Kansas State University) as part of UBC Vancouver Algeb
raic Geometry Seminar\n\n\nAbstract\nHolomorphic Floer theory is a joint p
roject with Maxim Kontsevich\, which is devoted to various aspects of the
Floer theory in the framework of complex symplectic manifolds.\n\nIn my ta
lk I will consider an important special case of the general story. Expone
ntial integrals in finite and infinite dimension can be thought of general
ization of the theory of periods (i.e variations of Hodge structure). In
particular\, there are comparison isomorphisms between Betti and de Rham c
ohomology in the exponential setting. These isomorphisms are corollaries o
f categorical equivalences which are incarnations of our generalized Riema
nn-Hilbert correspondence for complex symplectic manifolds.\n\nFurthermore
\, fomal series which appear e.g. in the stationary phase method or Feynma
n expansions (in infinite dimensions) are Borel re-summable (resurgent). I
f time permits I will explain the underlying mathematical structure which
we call analytic wall-crossing structure. From the perspective of Holomorp
hic Floer theory it is related to the estimates for the number of pseudo-h
olomorphic discs with boundaries on two given complex Lagrangian submanifo
lds.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dragos Oprea (UCSD)
DTSTART:20201023T153000Z
DTEND:20201023T170000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/5
DESCRIPTION:Title: Virtual invariants of Quot schemes of surfaces\nby Dragos Oprea
(UCSD) as part of UBC Vancouver Algebraic Geometry Seminar\n\n\nAbstract\n
The Quot schemes of surfaces parametrizing quotients of dimension at most
1 of the trivial sheaf carry 2-term perfect obstruction theories. Several
generating series of associated virtual invariants are conjectured to be g
iven by rational functions. We show this is the case for several geometrie
s including all smooth projective surfaces with p_g>0. This talk is based
on joint work with Noah Arbesfeld\, Drew Johnson\, Woonam Lim and Rahul Pa
ndharipande.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Halpern-Leistner (Cornell University)
DTSTART:20201030T153000Z
DTEND:20201030T170000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/6
DESCRIPTION:Title: Derived Theta-stratifications and the D-equivalence conjecture\n
by Daniel Halpern-Leistner (Cornell University) as part of UBC Vancouver A
lgebraic Geometry Seminar\n\n\nAbstract\nThe D-equivalence conjecture pred
icts that birationally equivalent projective Calabi-Yau manifolds have equ
ivalent derived categories of coherent sheaves. It is motivated by homolog
ical mirror symmetry\, and has inspired a lot of recent work on connection
s between birational geometry and derived categories. In dimension 3\, the
conjecture is settled\, but little is known in higher dimensions. I will
discuss a proof of this conjecture for the class of Calab-Yau manifolds th
at are birationally equivalent to some moduli space of stable sheaves on a
K3 surface. This is the only class for which the conjecture is known in d
imension >3. The proof uses a more general structure theory for the derive
d category of an algebraic stack equipped with a Theta-stratification\, wh
ich we apply in this case to the Harder-Narasimhan stratification of the m
oduli of sheaves.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yifeng Huang (University of Michigan)
DTSTART:20201106T170000Z
DTEND:20201106T180000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/7
DESCRIPTION:Title: Cohomology of configuration spaces of punctured varieties\nby Yi
feng Huang (University of Michigan) as part of UBC Vancouver Algebraic Geo
metry Seminar\n\n\nAbstract\nGiven a smooth complex variety $X$ (not neces
sarily compact)\, consider the unordered configuration space $Conf^n(X)$ d
efined as ${(x_1\,...\,x_n)\\in X^n: x_i \\neq x_j\\ \\text{for}\\ i\\neq
j} / S_n$. The singular cohomology of $Conf^n(X)$ has long been an active
area of research. In this talk\, we investigate the following phenomenon:
"puncturing once more" seems to have a very predictable effect on the coho
mology of configuration spaces when the variety we start with is noncompac
t. In specific\, a formula of Napolitano determines the Betti numbers of $
Conf^n(X - {P})$ from the Betti numbers of $Conf^m(X)$ $(m \\leq n)$ if $X
$ is a smooth *noncompact* algebraic curve and $P$ is a point. We present
a new proof using an explicit algebraic method\, which also upgrades this
formula about Betti numbers into a formula about mixed Hodge numbers and g
eneralizes this formula to certain cases where $X$ is of higher dimension.
\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emily Clader (San Francisco State University)
DTSTART:20201120T170000Z
DTEND:20201120T180000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/8
DESCRIPTION:Title: Permutohedral Complexes and Curves With Cyclic Action\nby Emily
Clader (San Francisco State University) as part of UBC Vancouver Algebraic
Geometry Seminar\n\n\nAbstract\nAlthough the moduli space of genus-zero c
urves is not a toric\nvariety\, it shares an intriguing amount of the comb
inatorial structure that a\ntoric variety would enjoy. In fact\, by adjust
ing the moduli problem slightly\,\none finds a moduli space that is indeed
toric\, known as Losev-Manin space. The\nassociated polytope is the permu
tohedron\, which also encodes the\ngroup-theoretic structure of the symmet
ric group. Batyrev and Blume generalized\nthis story by constructing a "ty
pe-B" version of Losev-Manin space\, whose\nassociated polytope is a signe
d permutohedron that relates to the group of\nsigned permutations. In join
t work in progress with C. Damiolini\, D. Huang\, S.\nLi\, and R. Ramadas\
, we carry out the next stage of generalization\, defining a\nfamily of mo
duli space of curves with Z_r action encoded by an associated\n"permutohed
ral complex" for a more general complex reflection group\, which\nspeciali
zes when r=2 to Batyrev and Blume's moduli space.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dustin Ross (San Francisco State University)
DTSTART:20201127T170000Z
DTEND:20201127T180000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/9
DESCRIPTION:Title: Putting the "volume" back in volume polynomials\nby Dustin Ross
(San Francisco State University) as part of UBC Vancouver Algebraic Geomet
ry Seminar\n\n\nAbstract\nIt is a strange and wonderful fact that Chow rin
gs of matroids behave in many ways similarly to Chow rings of smooth proje
ctive varieties. Because of this\, the Chow ring of a matroid is determine
d by a homogeneous polynomial called its volume polynomial\, whose coeffic
ients record the degrees of all possible top products of divisors. The use
of the word "volume" is motivated by the fact that the volume polynomial
of a smooth projective toric variety actually measures the volumes of cert
ain polytopes associated to the variety. In the matroid setting\, on the o
ther hand\, no such polytopes exist\, and the goal of our work was to find
more general polyhedral objects whose volume is measured by the volume po
lynomial of matroids. In this talk\, I will motivate and describe these po
lyhedral objects. This is joint work with Anastasia Nathanson.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Junliang Shen (MIT)
DTSTART:20201204T163000Z
DTEND:20201204T173000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/10
DESCRIPTION:Title: Intersection cohomology of the moduli of of 1-dimensional sheaves a
nd the moduli of Higgs bundles\nby Junliang Shen (MIT) as part of UBC
Vancouver Algebraic Geometry Seminar\n\n\nAbstract\nIn general\, the topol
ogy of the moduli space of semistable sheaves on an algebraic variety reli
es heavily on the choice of the Euler characteristic of the sheaves. We sh
ow a striking phenomenon that\, for the moduli of 1-dimensional semistable
sheaves on a toric del Pezzo surface (e.g. P^2) or the moduli of semistab
le Higgs bundles with respect to a divisor of degree > 2g-2 on a curve\, t
he intersection cohomology of the moduli space is independent of the choic
e of the Euler characteristic. This confirms a conjecture of Bousseau for
P^2\, and proves a conjecture of Toda in the case of local toric Calabi-Y
au 3-folds. In the proof\, a generalized version of Ngô's support theorem
plays a crucial role. Based on joint work in progress with Davesh Maulik.
\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christopher Woodward (Rutgers University)
DTSTART:20201113T163000Z
DTEND:20201113T173000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/11
DESCRIPTION:Title: Quantum K-theory of git quotients\nby Christopher Woodward (Rut
gers University) as part of UBC Vancouver Algebraic Geometry Seminar\n\n\n
Abstract\n(w E. Gonzalez) I will discuss a generalization of the Kirwan m
ap to quantum K-theory\, a presentation of quantum K-theory of toric varie
ties\, and some open questions.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ming Zhang (UBC)
DTSTART:20201113T174500Z
DTEND:20201113T184500Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/13
DESCRIPTION:Title: Verlinde/Grassmannian Correspondence\nby Ming Zhang (UBC) as pa
rt of UBC Vancouver Algebraic Geometry Seminar\n\n\nAbstract\nIn the 90s'\
, Witten gave a physical derivation of an isomorphism between the Verlinde
algebra of $\\mathrm{GL}(n)$ of level l and the quantum cohomology ring o
f the Grassmannian $\\mathrm{Gr}(n\,n+l)$. In the joint work arXiv:1811.01
377 with Yongbin Ruan\, we proposed a $K$-theoretic generalization of Witt
en's work by relating the $\\mathrm{GL}_n$ Verlinde numbers to the level $
l$ quantum $K$-invariants of the Grassmannian $\\mathrm{Gr}(n\,n+l)$\, and
refer to it as the Verlinde/Grassmannian correspondence. The corresponden
ce was formulated precisely in the aforementioned paper\, and we proved th
e rank 2 case ($n$=2) there.\n\nIn this talk\, I will first explain the ba
ckground of this correspondence and its interpretation in physics. Then I
will discuss the main idea of the proof for arbitrary rank. A new technica
l ingredient is the virtual nonabelian localization formula developed by D
aniel Halpern-Leistner.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Henry Liu (Columbia University)
DTSTART:20210201T230000Z
DTEND:20210202T000000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/14
DESCRIPTION:Title: Quasimaps and stable pairs\nby Henry Liu (Columbia University)
as part of UBC Vancouver Algebraic Geometry Seminar\n\n\nAbstract\nI will
explain an equivalence between a flavor of Donaldson-Thomas theory (due to
Bryan and Steinberg) on ADE surface fibrations and quasimaps to Hilbert s
chemes of ADE surfaces. The proof involves an explicit combinatorial descr
iption of vertices. The equivalence can be used to relate machinery from b
oth sides\, notably an equivariant K-theoretic DT crepant resolution conje
cture and 3d mirror symmetry.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Qile Chen (Boston College)
DTSTART:20210322T220000Z
DTEND:20210322T230000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/15
DESCRIPTION:Title: Counting curves in critical locus via logarithmic compactifications
\nby Qile Chen (Boston College) as part of UBC Vancouver Algebraic Geo
metry Seminar\n\n\nAbstract\nI will introduce some recent developments and
work in progress on\nstudying Gauged Linear Sigma Models using logarithmi
c compactifications.\n\nThese logarithmic compactifications admit two type
s of virtual cycles ---\nthe reduced virtual cycles that recover Gromov-Wi
tten invariants of\ncomplete intersections\, and the canonical virtual cy
cles that depend only\non the geometry of ambient spaces. These two types
of virtual cycles differ\nonly by a third virtual cycle of the boundary of
the logarithmic\ncompactifications. Using the punctured logarithmic maps
of\nAbramovich-Chen-Gross-Siebert\, these virtual cycles can be computed v
ia the\ntropical and equivariant geometry of the logarithmic compactificat
ions.\nThis leads to a new method for computing Gromov-Witten invariants o
f\ncomplete intersections.\n\nThe talk consists of joint work with Felix J
anda\, Yongbin Ruan\, Adrien\nSauvaget and Rachel Webb.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jack Petok (Dartmouth College)
DTSTART:20210315T220000Z
DTEND:20210315T230000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/16
DESCRIPTION:Title: Kodaira dimensions of some moduli spaces of hyperkähler fourfolds<
/a>\nby Jack Petok (Dartmouth College) as part of UBC Vancouver Algebraic
Geometry Seminar\n\n\nAbstract\nWe use modular forms to study the biration
al geometry of some moduli spaces of hyperkähler fourfolds. I'll review a
bit of the algebraic geometry of these moduli spaces\, and then I'll expl
ain some methods\, due to Gritsenko\, Hulek\, and Sankaran\, for computing
their Kodaira dimensions. These methods make use of special modular forms
defined on high rank orthogonal groups. I'll also report on an ongoing pr
oject with Jen Berg applying related techniques to certain moduli spaces o
f Enriques surfaces.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dylan G.L. Allegretti (UBC)
DTSTART:20210118T230000Z
DTEND:20210119T000000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/17
DESCRIPTION:Title: Wall-crossing and differential equations\nby Dylan G.L. Allegre
tti (UBC) as part of UBC Vancouver Algebraic Geometry Seminar\n\n\nAbstrac
t\nThe Kontsevich-Soibelman wall-crossing formula describes the wall-cross
ing behavior of BPS invariants in Donaldson-Thomas theory. It can be formu
lated as an identity between (possibly infinite) products of automorphisms
of a formal power series ring. In this talk\, I will explain how these sa
me products also appear in the exact WKB analysis of Schrödinger's equati
on. In this context\, they describe the Stokes phenomenon for objects know
n as Voros symbols.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arnav Tripathy (Harvard University)
DTSTART:20210329T220000Z
DTEND:20210329T230000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/18
DESCRIPTION:Title: K3s as Hyperkahler Quotients\nby Arnav Tripathy (Harvard Univer
sity) as part of UBC Vancouver Algebraic Geometry Seminar\n\n\nAbstract\nI
'll explain how to construct K3 surfaces as hyperkahler quotients and\, as
time permits\, our expected application to counting open GW invariants. T
his is all joint work with M. Zimet.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yu-Wei Fan (UC Berkeley)
DTSTART:20210208T230000Z
DTEND:20210209T000000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/19
DESCRIPTION:Title: Stokes matrices\, character varieties\, and points on spheres\n
by Yu-Wei Fan (UC Berkeley) as part of UBC Vancouver Algebraic Geometry Se
minar\n\n\nAbstract\nModuli spaces of points on n-spheres carry natural ac
tions of braid groups. For n=0\,1\, and 3\, we prove that these symmetries
extend to actions of mapping class groups of positive genus surfaces\, th
rough exceptional isomorphisms with certain character varieties. We also a
pply the exceptional isomorphisms to the study of Stokes matrices and exce
ptional collections of triangulated categories. Joint work with Junho Pete
r Whang.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mark Shoemaker (Colorado State University)
DTSTART:20210222T230000Z
DTEND:20210223T000000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/20
DESCRIPTION:Title: A mirror theorem for gauged linear sigma models\nby Mark Shoema
ker (Colorado State University) as part of UBC Vancouver Algebraic Geometr
y Seminar\n\n\nAbstract\nLet G be a finite group acting on a smooth comple
x variety M. Let X —> M/G be a crepant resolution by a smooth variety
X. The Crepant Resolution Conjecture predicts a complicated relationship
between the Gromov—Witten invariants of X and the orbifold Gromov—Witt
en invariants of the stack [M/G].\n\nIn this talk I will describe an analo
gous conjecture involving Landau—Ginzburg (LG) models. An LG model is\,
roughly\, a smooth complex variety Y together with a regular function w:
Y—> \\CC. LG models can be used to give alternate “resolutions” of
hypersurface singularities in a certain sense and are related to so-called
noncommutative resolutions. I will briefly discuss the gauged linear sigm
a model\, which is used to define curve counting invariants for LG models\
, and describe a new technique for computing these invariants.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yefeng Shen (University of Oregon)
DTSTART:20210301T230000Z
DTEND:20210302T000000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/21
DESCRIPTION:Title: Virasoro constraints in quantum singularity theory\nby Yefeng S
hen (University of Oregon) as part of UBC Vancouver Algebraic Geometry Sem
inar\n\n\nAbstract\nIn this talk\, we introduce Virasoro operators in quan
tum singularity theories for nondegenerate quasi-homogeneous polynomials w
ith nontrivial diagonal symmetries. Using Givental's quantization formula
of quadratic Hamiltonians\, these operators satisfy the Virasoro relations
. Inspired by the famous Virasoro conjecture in Gromov-Witten theory\, we
conjecture that the genus g generating functions arise in quantum singular
ity theories are annihilated by the Virasoro operators. We verify the conj
ecture in various examples and discuss the connections to mirror symmetry
of LG models and LG/CY correspondence. This talk is based on work joint wi
th Weiqiang He.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Davesh Maulik (MIT)
DTSTART:20210308T230000Z
DTEND:20210309T000000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/22
DESCRIPTION:Title: Cohomology of the moduli of Higgs bundles and the Hausel-Thaddeus c
onjecture\nby Davesh Maulik (MIT) as part of UBC Vancouver Algebraic G
eometry Seminar\n\n\nAbstract\nIn this talk\, I will discuss some results
on the structure of the cohomology of the moduli space of stable SL_n Higg
s bundles on a curve. One consequence is a new proof of the Hausel-Thaddeu
s conjecture proven previously by Groechenig-Wyss-Ziegler via p-adic integ
ration. We will also discuss connections to the P=W conjecture if time per
mits. Based on joint work with Junliang Shen.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zijun Zhou (IPMU)
DTSTART:20210412T220000Z
DTEND:20210412T230000Z
DTSTAMP:20260404T111331Z
UID:UBC-AG/23
DESCRIPTION:Title: 3d mirror symmetry\, vertex function\, and elliptic stable envelope
\nby Zijun Zhou (IPMU) as part of UBC Vancouver Algebraic Geometry Sem
inar\n\n\nAbstract\n3d mirror symmetry is a duality in physics\, where Hig
gs and Coulomb branches of certain pairs of 3d N=4 SUSY gauge theories are
exchanged with each other. Motivated from this\, M. Aganagic and A. Okoun
kov introduced the enumerative geometric conjecture that the vertex functi
ons of the mirror theories are related to each other. The two sets of q-di
fference equations satisfied by the vertex functions\, in terms of the K\\
"ahler and equivariant parameters\, are expected to exchange with each oth
er. The conjecture therefore leads to a nontrivial relation between their
monodromy matrices\, the so-called elliptic stable envelopes. In this talk
\, I will discuss the proof in several cases of the conjecture for both ve
rtex functions and elliptic stable envelopes. This is based on joint works
with R. Rim\\'anyi\, A. Smirnov\, and A. Varchenko.\n
LOCATION:https://stable.researchseminars.org/talk/UBC-AG/23/
END:VEVENT
END:VCALENDAR