Higher Coleman Theory

Abstract: We introduce a higher coherent cohomological analog of overconvergent modular forms on Shimura varieties and explain how to compute the finite slope part of the coherent cohomology of Shimura varieties in terms of them. We also discuss how they vary p-adically. This is joint work with Vincent Pilloni.

algebraic geometrynumber theoryrepresentation theory

Audience: researchers in the topic

Columbia Automorphic Forms and Arithmetic Seminar