Geometry and Representation Theory around the Langlands programs

Hecke algebras for $p$-adic groups and applications to the Langlands correspondence

Jul 7, 2025, 10:30 AM

1h 20m

AUBIERE

Speaker

Yujie Xu

Description

I will talk about several results on Hecke algebras attached to Bernstein blocks of arbitrary reductive $p$-adic groups, and their applications to the local Langlands program. One such application is an explicit understanding of the (classical, arithmetic) Local Langlands correspondence with explicit L-packets. If time permits, I will talk about certain categorical "upgrades".