Event Series
Event Type
Seminar
Friday, June 5, 2020 12:00 PM
Bhargav Bhatt (University of Michigan)

A p-adic Riemann-Hilbert functor and vanishing theorems

I will discuss an ongoing project (joint with Jacob Lurie) aiming to construct a p-adic Riemann-Hilbert functor, attaching coherent sheaves to constructible sheaves (with coefficients in F_p, Z_p or Q_p) on an algebraic variety over a p-adic field. When combined with results on constructible sheaves, this yields vanishing theorems (old and new) on the coherent side.