# A p-adic Riemann-Hilbert functor and vanishing theorems

### Bhargav Bhatt (University of Michigan)

05-Jun-2020, 19:00-20:00 (8 months ago)

Abstract: I will discuss an ongoing project (joint with Jacob Lurie) aiming to construct a $p$-adic Riemann-Hilbert functor, attaching coherent complexes to constructible sheaves (with coefficients in $\mathbb{F}_p$, $\mathbb{Z}_p$ or $\mathbb{Q}_p$) on a compact algebraic variety over a $p$-adic field. When combined with results on constructible sheaves, these yields vanishing theorems (old and new) on the coherent side.

algebraic geometry

Audience: researchers in the topic

Comments: The discussion for Bhargav Bhatt’s talk is taking place not in zoom-chat, but at tinyurl.com/2020-06-05-bb (and will be deleted after 3-7 days).