Published on *Department of Mathematics* (https://math.yale.edu)

October 5, 2020 - 4:30pm

https://yale.zoom.us/j/99433355937 (password was emailed by Ivan on 9/11, also available from Ivan by email)

In the talk we will describe some recent advances in the

geometric Langlands theory. We will introduce a new geometric

object–the stack of local systems with restricted variation and

show how it allows to formulate a version of the geometric

Langlands conjecture in any sheaf theory, in particular for

l-adic sheaves. We will then explain a procedure, given by

categorical trace, that allows that directly connect the *category*

of automorphic sheaves with the *space* of automorphic functions.