Séminaire d'arithmétique à Lyon

On the existence of rigid analytic families of Galois-stable lattices in trianguline representations

par Emiliano Torti

Europe/Paris
ENS Lyon, UMPA

ENS Lyon, UMPA

Description

In this talk, we will define rigid analytic families of representations of topological compact groups and we will study the existence of integral subfamilies. The obtained results will be applied to the study of lattices in trianguline (in particular, semi-stable and crystalline) representations of generic dimension which is one of the main topic in integral $p$-adic Hodge theory.