Number Theory Seminar

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.)