Colloquium
Gurbir Dhillon, Yale
Sheaves on semi-infinite flag manifolds and Langlands duality Abstract : Let \(G\), \(G^L\) be Langlands-dual reductive groups. The geometric Satake equivalence is the wonderful fact that one can realize the monoidal category of \(G^L\)-representations as a category of constructible sheaves on a space built from \(G\), namely its affine Grassmannian. After recalling this story, we will present similar realizations of the representations of every parabolic and Levi subgroup of \(G^L\) as sheaves on the semi-infinite partial flag manifolds of \(G\). Time permitting, we will describe some natural extensions, including the realizations of the representations of various quantum groups. The contents of this talk build on work and conjectures of many people, notably Arkhipov, Bezrukavnikov, Braverman, Feigin, Finkelberg, Frenkel, Gaitsgory, Lusztig, Mirkovic, Vilonen, and Raskin, and is the subject of work in progress with Campbell, Chen, Lysenko, and Achar-Riche.
4:00PM, Mathematics Building, room 250
Title: Sheaves on semi-infinite flag manifolds and Langlands duality
Abstract : Let \(G\), \(G^L\) be Langlands-dual reductive groups. The geometric Satake equivalence is the wonderful fact that one can realize the monoidal category of \(G^L\)-representations as a category of constructible sheaves on a space built from \(G\), namely its affine Grassmannian. After recalling this story, we will present similar realizations of the representations of every parabolic and Levi subgroup of \(G^L\) as sheaves on the semi-infinite partial flag manifolds of \(G\). Time permitting, we will describe some natural extensions, including the realizations of the representations of various quantum groups.
The contents of this talk build on work and conjectures of many people, notably Arkhipov, Bezrukavnikov, Braverman, Feigin, Finkelberg, Frenkel, Gaitsgory, Lusztig, Mirkovic, Vilonen, and Raskin, and is the subject of work in progress with Campbell, Chen, Lysenko, and Achar-Riche.
Colloquium
Lei Yang, Institute for Advanced Study
Effective versions of Ratner’s equidistribution theorem Speaker host: Hanfeng Li
4:00PM, Mathematics Building, room 250
Title: Effective versions of Ratner’s equidistribution theorem
Speaker host: Hanfeng Li
Applied Math Seminar
Yijun Sun, UB
TBA.
3:00PM, Math 122 and on Zoom - contact mbichuch@buffalo.edu for link
Applied Math Seminar
Dmitry Pelinovsky, Mcmaster University
Instability of peaked waves in hydrodynamical models.
3:00PM, Math 122 and on Zoom - contact mbichuch@buffalo.edu for link
Applied Math Seminar
Giselle Sosa Jones, Oakland University
Discontinuous Galerkin discretizations of multiphase flow problems in porous media.
3:00PM, Math 122 and on Zoom - contact mbichuch@buffalo.edu for link
Colloquium
Tomasz Mrowka, MIT
2023-24 Myhill Lecture #1
4:00PM
Colloquium
Tomasz Mrowka, MIT
2023-24 Myhill Lecture #2
4:00PM
Colloquium
Tomasz Mroka, MIT
2023-24 Myhill Lecture #3
4:00PM