Higher Coleman Theory I

Abstract: We have developed local cohomology techniques to study the coherent cohomology of Shimura varieties. The local cohomology groups which appear are a generalization of overconvergent modular forms studied by Coleman and many others.

Tentative plan of the lectures : 1) Overview of the results and analogy with classical representation theory 2) Definition of the local cohomology, vanishing theorems and slope estimates. 3) Eigenvarieties and applications.

commutative algebraalgebraic geometrynumber theory

Audience: researchers in the topic

Recent Advances in Modern p-Adic Geometry (RAMpAGe)

Series comments: The Zoom Meeting ID is: 995 3670 1681. The password for the series is: *The first three-digit prime*. Please visit the external homepage for notes and videos from past talks.