Description
Mathematics Colloquium
Speaker: Aditya Karnataki, Beijing International Center for Mathematical
Research
Date: Wednesday, 30 January 2019.
Time: 4:00-5:00pm.
Venue: Ramanujan Hall.
Title - Finiteness of cohomology of arithmetic families of $(\varphi,
\Gamma)$-modules.
Abstract - We will explain constructions of Robba rings and $(\varphi,
\Gamma)-modules of p-adic Hodge theory. We will describe new proofs of
some results on finiteness of cohomology of these modules, 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.