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BEGIN:VEVENT
SUMMARY:Daniel Douglas (Yale University)
DTSTART:20220217T220000Z
DTEND:20220217T233000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/1
DESCRIPTION:Title: Tropical Fock-Goncharov coordinates for SL_3-webs on surfaces\
nby Daniel Douglas (Yale University) as part of PIMS Geometry / Algebra /
Physics (GAP) Seminar\n\n\nAbstract\nFor a finite-type surface $\\mathfrak
{S}$\, we study a preferred basis for the commutative algebra $\\mathbb{C}
[\\mathcal{R}_{\\mathrm{SL}_3}(\\mathfrak{S})]$ of regular functions on th
e $\\text{SL}_3(\\mathbb C)$-character variety\, introduced by Sikora-West
bury. These basis elements come from the trace functions associated to cer
tain tri-valent graphs embedded in the surface $\\mathfrak{S}$. We show th
at this basis can be naturally indexed by positive integer coordinates\, d
efined by Knutson-Tao rhombus inequalities and modulo $3$ congruence condi
tions. These coordinates are related\, by the geometric theory of Fock-Gon
charov\, to the tropical points at infinity of the dual version of the cha
racter variety. This is joint work with Zhe Sun.\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anne Dranowski (University of Southern California)
DTSTART:20220324T220000Z
DTEND:20220324T233000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/2
DESCRIPTION:Title: Computing fusion products of MV cycles using the Mirkovic–Vyborn
ov isomorphism\nby Anne Dranowski (University of Southern California)
as part of PIMS Geometry / Algebra / Physics (GAP) Seminar\n\n\nAbstract\n
The fusion of two subvarieties in the affine Grassmannian is a degeneratio
n of their product\, defined using the Beilinson-Drinfeld Grassmannian. In
this talk\, we present a conceptually elementary approach to computing th
is product in type A when the varieties are MV cycles. As an application\,
we can compute all cluster exchange relations in the coordinate ring of t
he upper-triangular subgroup of $\\text{GL}_4$\, confirming that all the c
luster variables are contained in the basis of MV cycles.\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bryan Kettle (University of Alberta)
DTSTART:20220512T220000Z
DTEND:20220512T233000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/3
DESCRIPTION:Title: Super Yangians: where we are today\nby Bryan Kettle (Universit
y of Alberta) as part of PIMS Geometry / Algebra / Physics (GAP) Seminar\n
\nLecture held in THORV 124.\n\nAbstract\nGiven any finite-dimensional sim
ple Lie algebra $\\mathfrak a$ over $\\mathbb C$\, the Yangian $\\mathbf{Y
}(\\mathfrak a)$ is a certain unital associative $\\mathbb C$-algebra. In
particular\, Yangians form a family of so-called quantum groups. The main
property these algebras is the foundational fact that their representation
s produce rational solutions to the quantum Yang-Baxter equation. The stru
cture and representation theory of Yangians has become a study in and of i
tself and has expanded to the study of super Yangians based on Lie superal
gebras\; however\, the theory of super Yangians is comparatively less deve
loped than its non-super counterpart. In this talk\, we will survey what r
ecent advancements have been made in the study of super Yangians and view
what else remains to do.\n\nHybrid delivery (in person on University of Sa
skatchewan campus and via Zoom).\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthew Rupert (Utah State)
DTSTART:20220526T220000Z
DTEND:20220526T233000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/4
DESCRIPTION:Title: Constructing braided categories associated to logarithmic vertex a
lgebras\nby Matthew Rupert (Utah State) as part of PIMS Geometry / Alg
ebra / Physics (GAP) Seminar\n\nLecture held in THORV 124.\n\nAbstract\nUn
rolled quantum groups are a family of quantum algebras closely related to
the non-restricted specialization of Drinfeld-Jimbo algebras at roots of u
nity. These quantum groups have played a pivotal role in the study of the
Kazhdan-Lusztig correspondence\, that is\, the study of equivalences betwe
en module categories over quantum groups and logarithmic vertex operator a
lgebras. In this talk I will introduce unrolled quantum groups\, describe
their role in the Kazhdan-Lusztig correspondence\, and state some recent r
esults.\n\nHybrid delivery (in person on University of Saskatchewan campus
and via Zoom).\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sasha Tsymbaliuk (Purdue)
DTSTART:20220530T220000Z
DTEND:20220530T233000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/5
DESCRIPTION:Title: BGG-type relations for transfer matrices of rational spin chains a
nd the shifted Yangians\nby Sasha Tsymbaliuk (Purdue) as part of PIMS
Geometry / Algebra / Physics (GAP) Seminar\n\nLecture held in THORV 124.\n
\nAbstract\nIn this talk\, I will discuss: (1) the new BGG-type resolution
s of finite dimensional representations of simple Lie algebras that lead t
o BGG-relations expressing finite-dimensional transfer matrices via infini
te-dimensional ones\, (2) the factorization of infinite-dimensional ones i
nto the product of two Q-operators\, (3) the construction of a large famil
y of rational Lax matrices from antidominantly shifted Yangians. This talk
is based on the joint works with R. Frassek\, I. Karpov\, and V. Pestun.\
n\nHybrid delivery (in person on University of Saskatchewan campus and via
Zoom).\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Raphaël Belliard (University of Alberta)
DTSTART:20220714T220000Z
DTEND:20220714T233000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/6
DESCRIPTION:Title: Pushing around loop equations\nby Raphaël Belliard (Universit
y of Alberta) as part of PIMS Geometry / Algebra / Physics (GAP) Seminar\n
\nLecture held in THORV 124.\n\nAbstract\nThe term “loop equations” wa
s coined by Migdal in the early 90's in the context of quark confinement t
o refer to certain sets of equations describing the propagation of test pa
rticles in quantum field theory.\n\nThey have since appeared many times at
the boundary between mathematics and physics. From statistical spectrosco
py to enumerative geometry via integrable hierarchies\, they encode confor
mal features of various problems in an analytic way.\n\nThe prototypical s
ituation where loop equations are valuable is that of matrix integrals\, w
ith applications ranging from all the aforementioned topics to number theo
ry and even artificial neural networks.\n\nA seemingly antipodal approach
to matrix integrals is that of orthogonal polynomials\, unveiling a subtle
relationship between loop equations and the geometry of meromorphic conne
ctions. This bridge can be abstracted in terms of $W$-algebra constraints
and we shall cross it back and forth.\n\nHybrid delivery (in person on Uni
versity of Saskatchewan campus and via Zoom).\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Monica Jinwoo Kang (Caltech)
DTSTART:20220818T220000Z
DTEND:20220818T233000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/7
DESCRIPTION:Title: A universal formula for the density of states with global symmetry
\nby Monica Jinwoo Kang (Caltech) as part of PIMS Geometry / Algebra /
Physics (GAP) Seminar\n\nLecture held in THORV 124.\n\nAbstract\nIt has l
ong been the case that representation theory played an important role in u
nderstanding the spectrum of states in physics. I will describe how it can
be used to describe some universal aspect of $d$-dimensional unitary conf
ormal field theories with a global symmetry group\, which can be a discret
e group or a compact Lie group.\n\nHybrid delivery (in person on Universit
y of Saskatchewan campus and via Zoom).\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maggie Miller (Stanford University)
DTSTART:20221013T220000Z
DTEND:20221013T233000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/8
DESCRIPTION:Title: Obstructing isotopy with an extra dimension\nby Maggie Miller
(Stanford University) as part of PIMS Geometry / Algebra / Physics (GAP) S
eminar\n\nLecture held in THORV 124.\n\nAbstract\nIn 1982\, Livingston sho
wed that several examples of Seifert surfaces that are not isotopic in the
$3$-sphere become isotopic when pushed into the $4$-ball. This is consist
ent with a common intuition in topology: objects that are somehow similar
should become the same when stabilized. We recently constructed families e
xhibiting that this is not always the case — that is\, surfaces in the $
3$-sphere that remain non-isotopic even when pushed into the $4$-ball. Thi
s is joint work with Kyle Hayden\, Seungwon Kim\, JungHwan Park\, and Isaa
c Sundberg.\n\nHybrid delivery (in person on University of Saskatchewan ca
mpus and via Zoom).\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Groechenig (University of Toronto)
DTSTART:20221124T220000Z
DTEND:20221124T233000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/9
DESCRIPTION:Title: Complex K-theory of dual Hitchin systems\nby Michael Groecheni
g (University of Toronto) as part of PIMS Geometry / Algebra / Physics (GA
P) Seminar\n\nLecture held in THORV 124.\n\nAbstract\nI will report on joi
nt work with Shiyu Shen. Moduli spaces of $\\text{SL}(n)$ and $\\text{PGL}
(n)$-Higgs bundles are conjecturally related by a derived equivalence and
(up to HK rotation) mirror symmetry. This talk will be devoted to a shadow
of these equivalences in complex K-theory.\n\nHybrid delivery (in person
on University of Saskatchewan campus and via Zoom).\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Aleksei Ilin (University of Toronto)
DTSTART:20221215T223000Z
DTEND:20221216T000000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/10
DESCRIPTION:Title: Bethe subalgebras of Yangians\nby Aleksei Ilin (University of
Toronto) as part of PIMS Geometry / Algebra / Physics (GAP) Seminar\n\nLe
cture held in THORV 124.\n\nAbstract\nThe main object of this talk is the
family of commutative Bethe subaglebras in the Yangian. It is a natural fa
mily of commutative subalgebras of the Yangian parameterized by the simple
adjoint Lie group. In my talk I will discuss how this family is connected
with various wonderful compactifications. I also plan to discuss applicat
ions of this family to the theory of crystals.\n\nHybrid delivery (in pers
on on University of Saskatchewan campus and via Zoom).\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthew Young (Utah State University)
DTSTART:20230202T223000Z
DTEND:20230203T000000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/11
DESCRIPTION:Title: $U_q(\\mathfrak{gl}(1 \\vert 1))$ and $U(1 \\vert 1)$ Chern--Simo
ns theory\nby Matthew Young (Utah State University) as part of PIMS Ge
ometry / Algebra / Physics (GAP) Seminar\n\n\nAbstract\nChern--Simons theo
ry\, as introduced by Witten\, is a three dimensional quantum gauge theory
associated to a compact simple Lie group and a level. The mathematical mo
del of this theory as a topological quantum field theory was introduced by
Reshetikhin and Turaev and is at the core of modern quantum topology. The
goal of this talk is to explain a non-semisimple modification of the cons
truction of Reshetikhin and Turaev which realizes Chern--Simons theory wit
h gauge supergroup $U(1 \\vert 1)$\, as studied in the physics literature
by Rozansky--Saleur and Mikhaylov. In particular\, I'll motivate and expla
in various relative modular structures on the category of representations
of the quantum group of $\\mathfrak{gl}(1 \\vert 1)$ which should be seen
as non-semisimple analogues of modular tensor categories associated to the
quantum representation theory of a simple Lie algebra at a root of unity.
Based on joint work with Nathan Geer.\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gabriel Islambouli (UC Davis)
DTSTART:20230503T220000Z
DTEND:20230503T233000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/12
DESCRIPTION:Title: Multisections and Bridge multisections\nby Gabriel Islambouli
(UC Davis) as part of PIMS Geometry / Algebra / Physics (GAP) Seminar\n\n
\nAbstract\nIn 2016\, Gay and Kirby showed that every compact smooth 4-man
ifold can be decomposed into three standard pieces. A particularly nice fe
ature of this decomposition is that the smooth topology of the 4-manifold
can be encoded by curves on a surface. In this talk\, we explore the conse
quences of allowing more pieces in this decomposition\, and show that many
interesting cut and paste procedures can be carried out by natural mappin
g classes on the surface. We also explore a related decomposition for knot
ted surfaces in a 4-manifold.\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Puttipong Pongtanapaisan (University of Saskatchewan)
DTSTART:20230512T220000Z
DTEND:20230512T233000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/13
DESCRIPTION:Title: Random knotting and linking\nby Puttipong Pongtanapaisan (Uni
versity of Saskatchewan) as part of PIMS Geometry / Algebra / Physics (GAP
) Seminar\n\nLecture held in THORV 124.\n\nAbstract\nBack in the old days\
, before the invention of Apple Wireless Airpods\, people were more famili
ar with the tendency of the headphones in their pockets to become knotted.
It seems natural to expect that the probability that a random curve is ta
ngled increases with its length. In fact\, Frisch\, Wasserman\, and Delbr
ück conjectured that sufficiently long ring polymers will be knotted with
high probability. In this talk\, I will discuss some models where the con
jecture is known to be true\, including a setting that I investigated with
Jeremy Eng\, Chris Soteros\, and Rob Scharein. Topological techniques use
d in the proofs such as finite-type invariants will also be discussed.\n\n
Hybrid delivery (in person on University of Saskatchewan campus and via Zo
om).\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sachin Gautam (Ohio State University)
DTSTART:20230803T220000Z
DTEND:20230803T233000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/14
DESCRIPTION:Title: R-matrices of affine Yangians\nby Sachin Gautam (Ohio State U
niversity) as part of PIMS Geometry / Algebra / Physics (GAP) Seminar\n\nL
ecture held in THORV 124.\n\nAbstract\nYangians are certain remarkable Hop
f algebras\, associated to finite-dimensional simple Lie algebras\, introd
uced by Drinfeld in the 1980's. Drinfeld proved\, in a non-constructive ma
nner\, that each Yangian comes equipped with a formal solution to the famo
us Yang-Baxter equation\, known as Drinfeld's universal R-matrix.\n\nIn th
is talk\, I will present a very concrete method to construct Drinfeld's un
iversal R-matrix using additive difference equations. I will explain how o
ur method generalizes to other situations where no analogue of Drinfeld's
result is known\, such as Yangians associated to affine Kac-Moody algebras
. I will highlight the significant differences between the finite and affi
ne situations\, and the new challenges present in the latter.\n\nThis talk
is based on earlier works joint with Valerio Toledano Laredo and Curtis W
endlandt\, and a recent one in collaboration with Andrea Appel and Curtis
Wendlandt.\n\nHybrid delivery (in person on University of Saskatchewan cam
pus and via Zoom).\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Abid Ali (University of Saskatchewan)
DTSTART:20231012T223000Z
DTEND:20231013T000000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/15
DESCRIPTION:Title: Strong integrality of inversion subgroups of Kac-Moody groups
\nby Abid Ali (University of Saskatchewan) as part of PIMS Geometry / Alge
bra / Physics (GAP) Seminar\n\nLecture held in THORV 124.\n\nAbstract\nThe
question of integrality for semi-simple algebraic groups over the field o
f rational numbers was established by Chevalley in the 1950s as part of hi
s work on associating affine group schemes with groups over integers. For
infinite-dimensional Kac-Moody groups\, it remains an open problem. To sta
te this problem more precisely\, let $\\mathfrak g$ be a symmetrizable Kac
–Moody algebra over $\\mathbb Q$\, $V$ be an integrable highest weight $
\\mathfrak g$-module\, and $V_{\\mathbb Z}$ be a $\\mathbb Z$-form of $V$.
Let $G=G(\\mathbb{Q})$ be an associated minimal representation-theoretic
Kac–Moody group and let $G(\\mathbb{Z})$ be its integral subgroup. Suppo
se $\\Gamma(\\mathbb{Z})$ is the Chevalley subgroup of $G$\, that is\, the
subgroup that stabilizes the lattice $V_{\\mathbb Z}$ in $V$. The integra
lity for $G$ is to determine if $G(\\mathbb{Z})=\\Gamma(\\mathbb{Z})$. We
will discuss some progress on this problem\, which we made in a joint work
with Lisa Carbone\, Dongwen Liu\, and Scott H. Murray. Our results have v
arious applications\, including the integrality of subgroups of the unipot
ent subgroup $U$ of $G$ that are generated by commuting real root groups.\
n\nHybrid delivery (in person on University of Saskatchewan campus and via
Zoom).\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Casey Blacker (George Mason University)
DTSTART:20231122T220000Z
DTEND:20231122T233000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/16
DESCRIPTION:Title: Geometric and algebraic reduction of multisymplectic manifolds\nby Casey Blacker (George Mason University) as part of PIMS Geometry / A
lgebra / Physics (GAP) Seminar\n\nLecture held in PHYSICS 128.\n\nAbstract
\nA symplectic Hamiltonian manifold consists of a Lie group action on a sy
mplectic manifold\, together with the additional structure of a moment map
\, which encodes the group action in terms of the assignment of Hamiltonia
n vector fields. In special cases\, the moment map determines a smooth sub
manifold to which the Lie group action restricts and the resulting quotien
t inherits the structure of symplectic manifold. In every case\, it is pos
sible to construct a reduced Poisson algebra that plays the role of the sp
ace of smooth functions on the reduced symplectic manifold.\n\nIn this tal
k\, we will discuss an adaptation of these ideas to the multisymplectic se
tting. Specifically\, we will exhibit a geometric reduction procedure for
multisymplectic manifolds in the presence of a Hamiltonian action\, an alg
ebraic reduction procedure for the associated $L$-infinity algebras of cla
ssical observables\, and a comparison of these two construction. This is j
oint work with Antonio Miti and Leonid Ryvkin.\n\nHybrid delivery (in pers
on on University of Saskatchewan campus and via Zoom).\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuly Billig (Carleton University)
DTSTART:20240111T220000Z
DTEND:20240111T233000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/17
DESCRIPTION:Title: Sheaves of AV-modules over projective varieties\nby Yuly Bill
ig (Carleton University) as part of PIMS Geometry / Algebra / Physics (GAP
) Seminar\n\nLecture held in THORV 124.\n\nAbstract\nAV-modules are repres
entations of the Lie algebra $V$ of vector fields that admit a compatible
action of the commutative algebra $A$ of functions. This notion is a natur
al generalization of $\\mathcal D$-modules. In this talk we shall start by
reviewing the theory of AV-modules over smooth irreducible affine varieti
es $X$. When the variety $X$ is projective\, it is necessary to consider s
heaves of AV-modules. We describe associative algebras that control the ca
tegory of AV-modules\, and construct a functor from the category of strong
representations of Lie algebra of jets of vector fields to the category o
f AV-modules. This talk is based on the joint work with Colin Ingalls\, a
s well as the work of Emile Bouaziz and Henrique Rocha.\n\nHybrid delivery
(in person on University of Saskatchewan campus and via Zoom).\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Julius Grimminger (University of Oxford)
DTSTART:20240207T223000Z
DTEND:20240207T233000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/18
DESCRIPTION:Title: Quivers and their 3d Coulomb branches\nby Julius Grimminger (
University of Oxford) as part of PIMS Geometry / Algebra / Physics (GAP) S
eminar\n\nLecture held in THORV 124.\n\nAbstract\nI will aim to give a ped
agogical introduction to 3d Coulomb branches of quiver gauge theories\, wh
ich are certain holomorphic symplectic varieties with symplectic singulari
ties. After briefly explaining why I care about such spaces as a physicist
\, I will focus on the mathematical aspects of Coulomb branches\, and disc
uss in particular how to count their holomorphic functions. I will then sh
ow how discrete modifications of a quiver induces a discrete quotient on i
ts Coulomb branch.\n\nHybrid delivery (in person on University of Saskatch
ewan campus and via Zoom).\n\n\n(This is part of a series with https://res
earchseminars.org/talk/PIMS_GAP/19/ occurring immediately after this talk.
)\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Antoine Bourget (CEA Paris-Saclay)
DTSTART:20240207T233000Z
DTEND:20240208T003000Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/19
DESCRIPTION:Title: Decay and fission of magnetic quivers\nby Antoine Bourget (CE
A Paris-Saclay) as part of PIMS Geometry / Algebra / Physics (GAP) Seminar
\n\nLecture held in THORV 124.\n\nAbstract\nOver the past 5 years\, the st
ratification of 3d Coulomb branches into symplectic leaves has been the su
bject of intense work in the physics community. Mathematically\, this corr
esponds to understanding the nested singularity structure of conical sympl
ectic singularities. This class includes Nakajima quiver varieties\, slice
s in affine grassmannians\, instanton moduli spaces\, and much more. In th
is talk\, I will review the methods that have been developed\, centered on
the concept of magnetic quivers. I will show how insights from string the
ory provide easy algorithms that can be implemented on a computer.\n\nHybr
id delivery (in person on University of Saskatchewan campus and via Zoom).
\n\n(This is part of a series with https://researchseminars.org/talk/PIMS_
GAP/18/ occurring immediately before this talk.)\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Siwei Xu (The Ohio State University)
DTSTART:20260312T230000Z
DTEND:20260313T001500Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/20
DESCRIPTION:Title: Affine Yangians and quantum toroidal algebras in type A\nby S
iwei Xu (The Ohio State University) as part of PIMS Geometry / Algebra / P
hysics (GAP) Seminar\n\nLecture held in PHYSIC 130.\n\nAbstract\nThe main
objects of my talk are the affine Yangian and the quantum toroidal algebra
of type A with two deformation parameters\, as introduced in the work of
Bershtein and Tsymbaliuk (2019). These algebras first appeared in Maulik a
nd Okounkov’s 2012 work\, where they were realized in a purely geometric
form through the equivariant cohomology of quiver varieties. In this talk
\, I construct an explicit functor from an appropriate category of represe
ntations of the affine Yangian associated with $\\mathfrak{sl}(mn)$ to tha
t of the quantum toroidal algebra associated with $\\mathfrak{sl}(m)$ for
all positive integers m and n\, which extends the construction of Gautam a
nd Toledano Laredo (2016).\n\nHybrid delivery (in person on University of
Saskatchewan campus and via Zoom).\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chris Raymond (University of Hamburg)
DTSTART:20260326T230000Z
DTEND:20260327T001500Z
DTSTAMP:20260404T094428Z
UID:PIMS_GAP/21
DESCRIPTION:Title: Inverting Hamiltonian Reduction - A Rep Theory Perspective\nb
y Chris Raymond (University of Hamburg) as part of PIMS Geometry / Algebra
/ Physics (GAP) Seminar\n\nLecture held in PHYSIC 130.\n\nAbstract\nQuant
um Hamiltonian reduction is an algebraic procedure that produces new verte
x algebras from known ones\, with the best understood examples being the W
-algebras that arise from affine vertex algebras. Recent work has focused
on morally inverting this construction\, which has important implications
for representation theory. Moreover\, since affine vertex algebras are int
imately tied to their underlying Lie algebras\, this inverse construction
also provides new tools for constructing and studying weight modules over
both finite and affine Lie algebras\, which are of broader interest in alg
ebra and mathematical physics. In this talk\, I'll give an introduction to
the ideas involved and illustrate the construction by showing how it natu
rally produces simple weight modules with infinite-dimensional weight spac
es everywhere.\n\nHybrid delivery (in person on University of Saskatchewan
campus and via Zoom).\n
LOCATION:https://stable.researchseminars.org/talk/PIMS_GAP/21/
END:VEVENT
END:VCALENDAR