Séminaire d'arithmétique à Lyon

On the p-adic pro-étale cohomology of Drinfeld symmetric spaces

par M. Guido BOSCO

Europe/Paris
Description

I will show how to determine the geometric p-adic pro-étale cohomology of the Drinfeld symmetric spaces defined over a p-adic field, using the relative fundamental exact sequence of p-adic Hodge theory, thus giving an alternative proof of a theorem of Colmez-Dospinescu-Nizioł. A key new ingredient is the condensed mathematics recently developed by Clausen-Scholze.