Speaker: Prof. Cong Xue (CNRS, IMJ-PRG)

Title: Cohomology of stacks of shtukas

Time: 14:00–15:00, October 23, 2026 (Friday)

Inviter: Prof. Hongjie Yu (MCM, CAS)

Venue: MCM110

Abstract: In the first part of the talk, I will talk about the basic properties of the cohomology of stacks of shtukas, and the relation with the geometric Langlands correspondance.

In the second part of the talk, I will briefly talk about the result that nearby cycles commute with proper direct image for stacks of shtukas (this describes the cohomology of stacks of shtukas at a ramified place), and the "Zorro lemma" argument. This is a joint work with Arnaud Eteve.