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UID:35366431-6433-4337-a235-323133306337
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X-WR-CALNAME:IAS Miscellaneous - IAS
BEGIN:VEVENT
UID:36646235-3763-4933-b737-366165336538
DTSTAMP:20221208T154950Z
CREATED:20221003T151105Z
DESCRIPTION:Topic: Fukaya-Ono-Parker perturbations and integral counts of c
urves\n\nSpeakers: Guangbo Xu\n\nAffiliation: University of North Carolina
\; Member\, School of Mathematics\n\nCurve counting invariants such as Gro
mov-Witten invariants are\nrational numbers in general because they are es
sentially certain\norbifold Euler characteristics. In 1997 Fukaya-Ono prop
osed that by\nusing the complex nature of the pseudoholomorphic curve equa
tion one\ncan extract integer invariants. In 2022 joint with S. Bai\, we w
orked\nout the details following Fukaya-Ono's original idea and an importa
nt\nsubsequent development by B. Parker. In this lecture I will talk about
\nsome of the details of this method which is called by us the FOP\npertur
bation scheme. I will also talk about the multiplicative\nproperty of FOP
perturbations which is necessary for applying to Floer\ntheory.\n
DTSTART:20221007T170000Z
DTEND:20221007T183000Z
LAST-MODIFIED:20221109T194625Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Guangbo Xu's Seminar
URL:https://www.ias.edu/math/events/guangbo-xus-seminar
END:VEVENT
BEGIN:VEVENT
UID:38613232-6561-4132-b333-313735663734
DTSTAMP:20221208T154950Z
CREATED:20220919T191923Z
DESCRIPTION:Topic: Verlinde Dimension Formula for the Space of Conformal Bl
ocks and the moduli of G-bundles\n\nSpeakers: Shrawan Kumar\n\nAffiliation
: University of North Carolina\; Member\, School of Mathematics\n\nLet G b
e a simply-connected complex semisimple algebraic group and let\nC be a sm
ooth projective curve of any genus. Then\, the moduli space of\nsemistable
G-bundles on C admits so called determinant line bundles.\nE. Verlinde co
njectured a remarkable formula to calculate the\ndimension of the space of
generalized theta functions\, which is by\ndefinition the space of global
sections of a determinant line bundle.\nThis space is also identified wit
h the space of conformal blocks\narising in Conformal Field Theory\, which
is by definition the space\nof coinvariants in integrable highest weight
modules of affine\nKac-Moody Lie algebras. Various works notably by\nTsuc
hiya-Ueno-Yamada\, Kumar-Narasimhan Ramanathan\, Faltings\,\nBeauville-La
szlo\, Sorger and Teleman culminated into a proof of the\nVerlinde formula
.\n\nThe main aim of this course will be to give a complete and self\ncont
ained proof of this formula derived from the Propogation of\nVacua and th
e Factorization Theorem among others. The proof requires\ntechniques from
algebraic geometry\, geometric invariant theory\,\nrepresentation theory o
f affine Kac-Moody Lie algebras\, topology\, and\nLie algebra cohomology.
Some basic knowledge of algebraic geometry\nand representation theory of s
emisimple Lie algebras will be helpful\;\nbut not required. I will develop
the course from scratch recalling\nresults from different areas as we nee
d them.\n\nThe course will be based upon some parts of my book ‘Conformal
\nBlocks\, Generalized Theta Functions and the Verlinde Formula’\npublishe
d by the Cambridge Ubiversity Press this year. This course\nshould be suit
able for any one interested in interaction between\nalgebraic geometry\, r
epresentation theory\, topology and mathematical\nphysics.
DTSTART:20221013T141500Z
DTEND:20221013T160000Z
LAST-MODIFIED:20221109T193656Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Verlinde Dimension Formula
URL:https://www.ias.edu/math/events/verlinde-dimension-formula
END:VEVENT
BEGIN:VEVENT
UID:39326539-3938-4435-a337-373234633934
DTSTAMP:20221208T154950Z
CREATED:20221003T152230Z
DESCRIPTION:Topic: Derived orbifold chart lifts of flow categories and bimo
dules\n\nSpeakers: Guangbo Xu\n\nAffiliation: University of North Carolina
\; Member\, School of Mathematics\n\nIn Hamiltonian Floer theory one needs
to regularize infinitely many\nmoduli spaces. It is convenient to formali
ze the discussion using the\nlanguage of flow categories and bimodules. In
this lecture I will\nexplain how to use the notion of 'derived orbifold c
hart lift' of flow\ncategories and bimodules and the FOP perturbation sche
me to define\nchain complexes and chain maps over the integers. In the con
text of\nArnold conjecture\, I will explain how the necessary structures o
n the\nderived orbifold chart lifts for the Hamiltonian Floer flow categor
y\nand the PSS/SSP bimodules can be constructed. This lecture is based on
\nthe joint work with S. Bai (arXiv: 2209.08599).
DTSTART:20221014T170000Z
DTEND:20221014T183000Z
LAST-MODIFIED:20221109T194848Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Guangbo Xu's Seminar
URL:https://www.ias.edu/math/events/guangbo-xus-seminar-1
END:VEVENT
BEGIN:VEVENT
UID:34633338-3966-4339-a331-386665376163
DTSTAMP:20221208T154950Z
CREATED:20221014T181739Z
DESCRIPTION:Topic: AMS construction for Floer moduli spaces \n\nSpeakers: G
uangbo Xu\n\nAffiliation: University of North Carolina\; Member\, School o
f Mathematics\n\nI will explain how to generalize Abouzaid-McLean-Smith's
construction\nto Floer moduli spaces. As we need to regularize infinitely
many\nmoduli spaces\, we need to make choices consistently. We also need t
o\ngeneralize the smoothing theory to the relative setting. This lecture\n
is based on joint work with S. Bai (arXiv: 2209.08599).
DTSTART:20221018T170000Z
DTEND:20221018T183000Z
LAST-MODIFIED:20221109T193932Z
LOCATION:West Lecture Hall and Remote Access
SUMMARY:Guangbo Xu's Seminar
URL:https://www.ias.edu/math/events/guangbo-xus-seminar-2
END:VEVENT
BEGIN:VEVENT
UID:34643364-3630-4531-b564-623063653439
DTSTAMP:20221208T154950Z
CREATED:20220921T191054Z
DESCRIPTION:Topic: Verlinde Dimension Formula for the Space of Conformal Bl
ocks and the moduli of G-bundles\n\nSpeakers: Shrawan Kumar\n\nAffiliation
: University of North Carolina\; Member\, School of Mathematics\n\nLet G b
e a simply-connected complex semisimple algebraic group and let\nC be a sm
ooth projective curve of any genus. Then\, the moduli space of\nsemistable
G-bundles on C admits so called determinant line bundles.\nE. Verlinde co
njectured a remarkable formula to calculate the\ndimension of the space of
generalized theta functions\, which is by\ndefinition the space of global
sections of a determinant line bundle.\nThis space is also identified wit
h the space of conformal blocks\narising in Conformal Field Theory\, which
is by definition the space\nof coinvariants in integrable highest weight
modules of affine\nKac-Moody Lie algebras. Various works notably by\nTsuc
hiya-Ueno-Yamada\, Kumar-Narasimhan Ramanathan\, Faltings\,\nBeauville-La
szlo\, Sorger and Teleman culminated into a proof of the\nVerlinde formula
.\n\nThe main aim of this course will be to give a complete and self\ncont
ained proof of this formula derived from the Propogation of\nVacua and th
e Factorization Theorem among others. The proof requires\ntechniques from
algebraic geometry\, geometric invariant theory\,\nrepresentation theory o
f affine Kac-Moody Lie algebras\, topology\, and\nLie algebra cohomology.
Some basic knowledge of algebraic geometry\nand representation theory of s
emisimple Lie algebras will be helpful\;\nbut not required. I will develop
the course from scratch recalling\nresults from different areas as we nee
d them.\n\nThe course will be based upon some parts of my book ‘Conformal
\nBlocks\, Generalized Theta Functions and the Verlinde Formula’\npublishe
d by the Cambridge Ubiversity Press this year. This course\nshould be suit
able for any one interested in interaction between\nalgebraic geometry\, r
epresentation theory\, topology and mathematical\nphysics.
DTSTART:20221020T141500Z
DTEND:20221020T160000Z
LAST-MODIFIED:20221109T193556Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Verlinde Dimension Formula
URL:https://www.ias.edu/math/events/verlinde-dimension-formula-0
END:VEVENT
BEGIN:VEVENT
UID:63613162-3366-4162-b966-386131626335
DTSTAMP:20221208T154950Z
CREATED:20221014T182844Z
DESCRIPTION:Topic: Derived orbifold chart lifts of flow categories and bimo
dules\n\nSpeakers: Guangbo Xu\n\nAffiliation: University of North Carolina
\; Member\, School of Mathematics\n\nIt is convenient to formalize the dis
cussion about Hamiltonian Floer\ntheory using the language of flow categor
ies and bimodules. In this\nlecture I will explain how to use the notion o
f 'derived orbifold\nchart lift' of flow categories and bimodules and the
FOP perturbation\nscheme to define chain complexes and chain maps over the
integers.\nThis lecture is based on joint work with S. Bai (arXiv: 2209.0
8599).
DTSTART:20221020T170000Z
DTEND:20221020T183000Z
LAST-MODIFIED:20221109T195058Z
LOCATION:West Lecture Hall and Remote Access
SUMMARY:Guangbo Xu's Seminar
URL:https://www.ias.edu/math/events/guangbo-xus-seminar-3
END:VEVENT
BEGIN:VEVENT
UID:61633063-3430-4738-b763-646130383731
DTSTAMP:20221208T154950Z
CREATED:20220921T191139Z
DESCRIPTION:Topic: Verlinde Dimension Formula for the Space of Conformal Bl
ocks and the Moduli of G-bundles\n\nSpeakers: Shrawan Kumar\n\nAffiliation
: University of North Carolina\; Member\, School of Mathematics\n\nLet G b
e a simply-connected complex semisimple algebraic group and let\nC be a sm
ooth projective curve of any genus. Then\, the moduli space of\nsemistable
G-bundles on C admits so called determinant line bundles.\nE. Verlinde co
njectured a remarkable formula to calculate the\ndimension of the space of
generalized theta functions\, which is by\ndefinition the space of global
sections of a determinant line bundle.\nThis space is also identified wit
h the space of conformal blocks\narising in Conformal Field Theory\, which
is by definition the space\nof coinvariants in integrable highest weight
modules of affine\nKac-Moody Lie algebras. Various works notably by\nTsuc
hiya-Ueno-Yamada\, Kumar-Narasimhan Ramanathan\, Faltings\,\nBeauville-La
szlo\, Sorger and Teleman culminated into a proof of the\nVerlinde formula
.\n\nThe main aim of this course will be to give a complete and self\ncont
ained proof of this formula derived from the Propogation of\nVacua and th
e Factorization Theorem among others. The proof requires\ntechniques from
algebraic geometry\, geometric invariant theory\,\nrepresentation theory o
f affine Kac-Moody Lie algebras\, topology\, and\nLie algebra cohomology.
Some basic knowledge of algebraic geometry\nand representation theory of s
emisimple Lie algebras will be helpful\;\nbut not required. I will develop
the course from scratch recalling\nresults from different areas as we nee
d them.\n\nThe course will be based upon some parts of my book ‘Conformal
\nBlocks\, Generalized Theta Functions and the Verlinde Formula’\npublishe
d by the Cambridge Ubiversity Press this year. This course\nshould be suit
able for any one interested in interaction between\nalgebraic geometry\, r
epresentation theory\, topology and mathematical\nphysics.
DTSTART:20221103T141500Z
DTEND:20221103T160000Z
LAST-MODIFIED:20221207T193848Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Verlinde Dimension Formula
URL:https://www.ias.edu/math/events/verlinde-dimension-formula-1
END:VEVENT
BEGIN:VEVENT
UID:61313439-3237-4363-a439-373063363837
DTSTAMP:20221208T154950Z
CREATED:20221020T153950Z
DESCRIPTION:Topic: Merkurjev's Theorem
DTSTART:20221104T170000Z
DTEND:20221104T193000Z
LAST-MODIFIED:20221104T180040Z
LOCATION:Rubenstein Commons\, Room #5
SUMMARY:Milnor Conjecture Learning Seminar
URL:https://www.ias.edu/math/events/milnor-conjecture-learning-seminar-3
END:VEVENT
BEGIN:VEVENT
UID:61363338-3738-4530-a437-366465643765
DTSTAMP:20221208T154950Z
CREATED:20221026T143421Z
DESCRIPTION:
DTSTART:20221104T191520Z
DTEND:20221104T210000Z
LAST-MODIFIED:20221114T184500Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Reading Seminar on Alexandrov Geometry
URL:https://www.ias.edu/events/reading-seminar-alexandrov-geometry-0
END:VEVENT
BEGIN:VEVENT
UID:64333533-6635-4336-a334-613731396534
DTSTAMP:20221208T154950Z
CREATED:20220921T191221Z
DESCRIPTION:Topic: Verlinde Dimension Formula for the Space of Conformal Bl
ocks and the Moduli of G-bundles\n\nSpeakers: Shrawan Kumar\n\nAffiliation
: University of North Carolina\; Member\, School of Mathematics\n\nLet G b
e a simply-connected complex semisimple algebraic group and let\nC be a sm
ooth projective curve of any genus. Then\, the moduli space of\nsemistable
G-bundles on C admits so called determinant line bundles.\nE. Verlinde co
njectured a remarkable formula to calculate the\ndimension of the space of
generalized theta functions\, which is by\ndefinition the space of global
sections of a determinant line bundle.\nThis space is also identified wit
h the space of conformal blocks\narising in Conformal Field Theory\, which
is by definition the space\nof coinvariants in integrable highest weight
modules of affine\nKac-Moody Lie algebras. Various works notably by\nTsuc
hiya-Ueno-Yamada\, Kumar-Narasimhan Ramanathan\, Faltings\,\nBeauville-La
szlo\, Sorger and Teleman culminated into a proof of the\nVerlinde formula
.\n\nThe main aim of this course will be to give a complete and self\ncont
ained proof of this formula derived from the Propogation of\nVacua and th
e Factorization Theorem among others. The proof requires\ntechniques from
algebraic geometry\, geometric invariant theory\,\nrepresentation theory o
f affine Kac-Moody Lie algebras\, topology\, and\nLie algebra cohomology.
Some basic knowledge of algebraic geometry\nand representation theory of s
emisimple Lie algebras will be helpful\;\nbut not required. I will develop
the course from scratch recalling\nresults from different areas as we nee
d them.\n\nThe course will be based upon some parts of my book ‘Conformal
\nBlocks\, Generalized Theta Functions and the Verlinde Formula’\npublishe
d by the Cambridge Ubiversity Press this year. This course\nshould be suit
able for any one interested in interaction between\nalgebraic geometry\, r
epresentation theory\, topology and mathematical\nphysics.
DTSTART:20221110T151500Z
DTEND:20221110T170000Z
LAST-MODIFIED:20221110T171457Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Verlinde Dimension Formula
URL:https://www.ias.edu/math/events/verlinde-dimension-formula-2
END:VEVENT
BEGIN:VEVENT
UID:61363235-3461-4466-a265-623762613766
DTSTAMP:20221208T154950Z
CREATED:20221028T172637Z
DESCRIPTION:Topic: Index Theory for Lorentzian Manifolds\n\nSpeakers: Chris
tian Bär\n\nAffiliation: University of Potsdam\n\nIndex theory goes back t
o Atiyah and Singer and deals with elliptic\noperators on Riemannian manif
olds. It has numerous applications in\ngeometry\, topology\, mathematical
physics and other fields. On a\nLorentzian manifold\, naturally associated
operators such as the Dirac\noperator are hyperbolic and not Fredholm in
general. Nonetheless\, it\nturns out that there is a Lorentzian analogue t
o the\nAtiyah-Patodi-Singer index theorem for manifolds with boundary.\n\n
The result looks formally very similar to its Riemannian counterpart\nbut
the underlying analysis is quite different. If time permits\, I\nwill also
describe an application to the chiral anomaly in quantum\nfield theory.\n
\nThis is joint work with Alexander Strohmaier (Leeds).\n\nhttps://www.mat
h.uni-potsdam.de/en/professuren/geometry/team/prof-dr-christian-baer
DTSTART:20221115T213000Z
DTEND:20221115T223000Z
LAST-MODIFIED:20221117T141134Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Seminar on Global Analysis
URL:https://www.ias.edu/events/seminar-global-analysis
END:VEVENT
BEGIN:VEVENT
UID:62666530-6535-4765-a338-643334366531
DTSTAMP:20221208T154950Z
CREATED:20220921T191307Z
DESCRIPTION:Topic: Verlinde Dimension Formula for the Space of Conformal Bl
ocks and the Moduli of G-bundles\n\nSpeakers: Shrawan Kumar\n\nAffiliation
: University of North Carolina\; Member\, School of Mathematics\n\nLet G b
e a simply-connected complex semisimple algebraic group and let\nC be a sm
ooth projective curve of any genus. Then\, the moduli space of\nsemistable
G-bundles on C admits so called determinant line bundles.\nE. Verlinde co
njectured a remarkable formula to calculate the\ndimension of the space of
generalized theta functions\, which is by\ndefinition the space of global
sections of a determinant line bundle.\nThis space is also identified wit
h the space of conformal blocks\narising in Conformal Field Theory\, which
is by definition the space\nof coinvariants in integrable highest weight
modules of affine\nKac-Moody Lie algebras. Various works notably by\nTsuc
hiya-Ueno-Yamada\, Kumar-Narasimhan Ramanathan\, Faltings\,\nBeauville-La
szlo\, Sorger and Teleman culminated into a proof of the\nVerlinde formula
.\n\nThe main aim of this course will be to give a complete and self\ncont
ained proof of this formula derived from the Propogation of\nVacua and th
e Factorization Theorem among others. The proof requires\ntechniques from
algebraic geometry\, geometric invariant theory\,\nrepresentation theory o
f affine Kac-Moody Lie algebras\, topology\, and\nLie algebra cohomology.
Some basic knowledge of algebraic geometry\nand representation theory of s
emisimple Lie algebras will be helpful\;\nbut not required. I will develop
the course from scratch recalling\nresults from different areas as we nee
d them.\n\nThe course will be based upon some parts of my book ‘Conformal
\nBlocks\, Generalized Theta Functions and the Verlinde Formula’\npublishe
d by the Cambridge Ubiversity Press this year. This course\nshould be suit
able for any one interested in interaction between\nalgebraic geometry\, r
epresentation theory\, topology and mathematical\nphysics.
DTSTART:20221117T151500Z
DTEND:20221117T170000Z
LAST-MODIFIED:20221207T192144Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Verlinde Dimension Formula
URL:https://www.ias.edu/math/events/verlinde-dimension-formula-3
END:VEVENT
BEGIN:VEVENT
UID:33326432-3837-4635-b761-363830336130
DTSTAMP:20221208T154950Z
CREATED:20220921T191336Z
DESCRIPTION:Topic: Verlinde Dimension Formula for the Space of Conformal Bl
ocks and the Moduli of G-bundles\n\nSpeakers: Shrawan Kumar\n\nAffiliation
: University of North Carolina\; Member\, School of Mathematics\n\nLet G b
e a simply-connected complex semisimple algebraic group and let\nC be a sm
ooth projective curve of any genus. Then\, the moduli space of\nsemistable
G-bundles on C admits so called determinant line bundles.\nE. Verlinde co
njectured a remarkable formula to calculate the\ndimension of the space of
generalized theta functions\, which is by\ndefinition the space of global
sections of a determinant line bundle.\nThis space is also identified wit
h the space of conformal blocks\narising in Conformal Field Theory\, which
is by definition the space\nof coinvariants in integrable highest weight
modules of affine\nKac-Moody Lie algebras. Various works notably by\nTsuc
hiya-Ueno-Yamada\, Kumar-Narasimhan Ramanathan\, Faltings\,\nBeauville-La
szlo\, Sorger and Teleman culminated into a proof of the\nVerlinde formula
.\n\nThe main aim of this course will be to give a complete and self\ncont
ained proof of this formula derived from the Propogation of\nVacua and th
e Factorization Theorem among others. The proof requires\ntechniques from
algebraic geometry\, geometric invariant theory\,\nrepresentation theory o
f affine Kac-Moody Lie algebras\, topology\, and\nLie algebra cohomology.
Some basic knowledge of algebraic geometry\nand representation theory of s
emisimple Lie algebras will be helpful\;\nbut not required. I will develop
the course from scratch recalling\nresults from different areas as we nee
d them.\n\nThe course will be based upon some parts of my book ‘Conformal
\nBlocks\, Generalized Theta Functions and the Verlinde Formula’\npublishe
d by the Cambridge Ubiversity Press this year. This course\nshould be suit
able for any one interested in interaction between\nalgebraic geometry\, r
epresentation theory\, topology and mathematical\nphysics.
DTSTART:20221201T151500Z
DTEND:20221201T170000Z
LAST-MODIFIED:20221207T191931Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Verlinde Dimension Formula
URL:https://www.ias.edu/math/events/verlinde-dimension-formula-4
END:VEVENT
BEGIN:VEVENT
UID:61623831-6237-4663-b334-343061623164
DTSTAMP:20221208T154950Z
CREATED:20221014T131613Z
DESCRIPTION:
DTSTART:20221209T180000Z
DTEND:20221209T200000Z
LAST-MODIFIED:20221202T190003Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Milnor Conjecture Learning Seminar
URL:https://www.ias.edu/math/events/milnor-conjecture-learning-seminar-1
END:VEVENT
BEGIN:VEVENT
UID:34643833-6664-4333-a163-326236373531
DTSTAMP:20221208T154950Z
CREATED:20221129T165044Z
DESCRIPTION:Topic: How Small Can a Group or a Graph be to Admit a Non-Trivi
al Poisson Boundary?\n\nSpeakers: Anna Erschler\n\nAffiliation: École norm
ale supérieure\n\nWe review results about random walks on groups\, discuss
ing results and\nconjectures relating critical constant for recurrence/tra
nsience\,\ngrowth and Poisson boundary. \n\nMuch less is known about behav
ior of random walks on Schreier graphs.\nSince any regular graph is a Schr
eier graph\, well known\ncounterexamples show that these random walks\, in
contrast with group\ncase\, do not enjoy structural results such as entr
opy criterion. It\nis well known that for 'very small' graphs (of at most
quadratic\ngrowth) simple random walks are recurrent\, and thus have trivi
al\nboundary. It turns out that if we allow infinitely supported\nmeasure
s\, the properties of the random walk can reflect better some\ngroup theor
etic properties. \n\nIn a work in progress with J. Frisch\, N. Matte Bon a
nd T. Zheng we\nstudy random walks on Schreier graphs. Our examples inclu
de random\nwalks on Grigorchuk groups. These groups\, starting from being
a\ncounter example to Milnor question about subexponential growth\, are\nk
nown to be a source of somehow counterintuitive phenomena. Studying\ntheir
Schreier graphs\, we show that even the smallest example among\npossible
infinite Schreier graphs\, the ray\, may admit (infinitely\nsupported ) m
easures with non-trivial boundary. Such measures can be\nchosen to be symm
etric\, of finite entropy with the boundary isomorphic\nto standard Lebesg
ue space.
DTSTART:20221209T183000Z
DTEND:20221209T193000Z
LAST-MODIFIED:20221205T155515Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Group Theory/Dynamics Talk
URL:https://www.ias.edu/math/events/group-theorydynamics-talk
END:VEVENT
END:VCALENDAR