Cohomology sheaves of stacks of shtukas

Seminar: 
Algebra and Number Theory Seminar
Event time: 
Tuesday, March 2, 2021 - 9:00am
Speaker: 
Cong Xue
Speaker affiliation: 
CNRS
Event description: 

The stacks of shtukas play an important role in the Langlands correspondence for function fields. In this talk, we will recall the definition of cohomology sheaves of stacks of shtukas and review the partial Frobenius morphisms and Drinfeld's lemma. Then we will talk about the smoothness property of the cohomology sheaves and some applications.