Speaker: Dennis Gaitsgory (Bonn)

Title: 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.