p-adic comparison theorem for analytic spaces

Abstract: I will discuss a comparison theorem between p-adic pro-etale cohomology and de Rham cohomology for smooth overconvergent analytic spaces. This generalizes the known de Rham-to-pro-etale comparison theorems for proper and Stein rigid analytic spaces. The key ingredient is the theory of Banach-Colmez spaces and almost Cp-representations. This is a joint work with Pierre Colmez.

commutative algebraalgebraic geometryalgebraic topologygeometric topologyK-theory and homology

Audience: researchers in the topic

electronic Algebraic K-theory Seminar

Series comments: Description: Research seminar on algebraic K-theory