Number Theory Seminar

Speaker: Alberto Vezzani

Title: Relative Hyodo-Kato cohomologies and comparison isomorphisms

Abstract: We present how the framework of rigid analytic motivic homotopy theory provides streamlined definitions of relative Hyodo-Kato cohomologies and comparison isomorphisms to de Rham cohomology, while also proving generalizations of ell-adic local monodromy theorems. This is work in progress with Fabrizio Andreatta and Federico Binda.