Number Theory Seminar

Thursday, September 12, 2019
4:00pm to 5:00pm
Linde Hall 310
Nearby cycles of automorphic étale sheaves
Kai-Wen Lan, School of Mathematics, University of Minnesota, Twin Cities,

I will explain that, in most cases where integral models are available
in the literature, the automorphic étale cohomology of a (possibly
noncompact) Shimura variety in characteristic zero is canonically
isomorphic to the cohomology of the associated (l-adic) nearby cycles
in positive characteristics. If time permits, I will also talk about
some applications or related results. (This is joint work with Stroh.)