Around the proof of the conjecture by Qiu and Xie

Geometry, Symmetry and Physics
Event time: 
Monday, September 25, 2023 - 4:30pm
Ivan Karpov
Speaker affiliation: 
Event description: 

The notion of asymptotic Hecke algebra originates to the works of Josef and Lusztig. However, no geometric description of this object has been found up to the very recent time.

In my talk, I will proof such a description (conjectured by Qiu and Xi), and explain some applications. In particular, the description of the cocenter of usual affine Hecke algebra will naturally appear.

This is a joint work with Roman Bezrukavnikov and Vasily Krylov.