# Stacks in the arithmetic Langlands program

## Location

383-N

Friday, October 28, 2022 12:00 PM

Matthew Emerton (University of Chicago)

Recent years have seen the introduction of geometric ideas, formerly the sole province of the geometric Langlands program, into the arithmetic Langlands program as well. In particular, stacks of Langlands parameters have taken a central place in the arithmetic theory.

In this talk I will discuss some aspects of these stacks, with an emphasis on their interesting geometric features. Much of the work I’ll report on will be joint with Toby Gee. Some will also be joint with Xinwen Zhu.