# Vortrag

Modul:   MAT770  Oberseminar: Algebraische Geometrie

## A relative de Rham cohomology for rigid analytic varieties

Vortrag von Dr. Alberto Vezzani

Datum: 19.04.21  Zeit: 13.30 - 15.00  Raum:

We will show how the motivic formalism and the recent development of the theory of solid quasi-coherent sheaves by Clausen-Scholze can be used to obtain a relative version of the de Rham cohomology for adic spaces over Q_p, and a Fargues-Fontaine cohomology for adic spaces over F_p, generalizing rigid cohomology. Finiteness results are also obtained this way. This is a joint work in progress with Arthur-César Le Bras.