School of Mathematics Seminars and Lectures

Finiteness of cohomology of arithmetic families of (\varphi,\Gamma)-modules

by Dr Aditya Karnataki (Beijing International Center for Mathematical Research, Beijing, China)

Asia/Kolkata
A-369

A-369

Description
Abstract We will describe new proofs of some results on finiteness of cohomology of $(\varphi, \Gamma)$-modules over Robba rings of $p$-adic Hodge theory, and indicate their applications to the theory of $p$-adic families of automorphic forms. This is part of ongoing work with Eugen Hellmann and Ruochuan Liu.