Algebra Seminar: Li -- Endoscopy for metaplectic affine Hecke categories

Yau Wing Li (University of Melbourne) will be speaking in the algebra seminar.  We will
go out for lunch after the talk---all are welcome to join! 

When: 12-1pm Friday October 10 

Where: Carslaw 175 

Title: Endoscopy for metaplectic affine Hecke categories 

Abstract: The Hecke category is central in representation theory.  A natural
generalization considers sheaves on the enhanced affine flag variety with fixed
monodromy along orbits of a centrally extended torus.  In joint work with Gurbir
Dhillon, Zhiwei Yun, and Xinwen Zhu, we show that these monodromic affine Hecke
categories are equivalent to non-monodromic affine Hecke categories of smaller groups,
extending results of Lusztig and Yun for finite Hecke categories.  In my earlier talk in
May I focused more on combinatorial and algebraic aspects; this time I will put more
emphasis on the categorical and geometric perspective, with applications to the
metaplectic derived Satake and Gaitsgory’s conjectures in the quantum geometric
Langlands program.