Project B6: Equivariant cohomology and Shimura varieties

Deformations of $p$-adic Galois representations associated to automorphic forms will be studied in Project B6. In particular, we will focus on the case when the underlying $p$-adic reductive group has higher rank. The main goal of the project is to further develop the cohomology theory associated to certain towers of Shimura varieties and find applications to the Iwasawa theory of motives associated to automorphic forms.