EVENT DETAILS AND ABSTRACT

Title: Torsion in the coherent cohomology of Shimura varieties and Galois representations
Speaker: George Boxer
Speaker Info: Harvard
Brief Description:
Special Note:
Abstract:

I will explain how to attach Galois representations to Hecke eigenforms in the coherent cohomology of the special fibers of certain good reduction Shimura varieties. As an application I will explain a new proof of cases of a recent theorem of Scholze on Galois representations associated to certain torsion classes in the Betti cohomology of arithmetic locally symmetric spaces. The main tool will be some "generalized Hasse invariants" adapted to the Ekedahl-Oort strata of the special fiber of the Shimura variety.