From geometric Langlands to classical via the trace of Frobenius

Abstract: I'll start by summarizing the main results of the series [AGKRRV], where it is shown that the trace of Frobenius on the category of automorphic sheaves with nilpotent singular support identifies with the space of unramified automorphic functions. We'll then discuss conjectural counterparts of this statement in the local and global ramified settings.

representation theory

Audience: researchers in the topic

MIT Lie groups seminar

Series comments: Description: Research seminar on Lie groups

This seminar will take place entirely online: Zoom Meeting Link. You should be able to watch live video at this link. Your microphone will be muted, but you are welcome to unmute it (microphone icon on the lower left of the Zoom window, perhaps visible only when you put your mouse near there) to ask a question.