A p-adic Riemann-Hilbert functor and applications

Abstract: I will discuss an ongoing project (joint with Jacob Lurie) aiming to construct a p-adic Riemann-Hilbert functor, attaching coherent objects to constructible sheaves (with coefficients in F_p, Z_p or Q_p) on a compact algebraic variety over a p-adic field. I'll focus on the case of F_p-coefficients, which leads to a solution of some old questions in commutative algebra.

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.