We construct a derived variant of Emerton's eigenvarieties using the locally analytic
representation theory of $ p $-adic groups. The main innovations include comparison and …

This paper studies Emerton's Jacquet module functor for locally analytic representations of p-
adic reductive groups. When P is a parabolic subgroup whose Levi factor M is not …

Using the overconvergent cohomology modules introduced by Ash–Stevens, we construct
eigenvarieties associated with reductive groups and establish some basic geometric …

Let G be a quasi-split reductive group over a non-archimedean local field. We establish a
local Langlands correspondence for all irreducible smooth complex G-representations in the …

We associate infinitesimal characters to (twisted) families of $ L $-parameters and $ C $-
parameters of $ p $-adic reductive groups. We use the construction to study the action of the …

In this paper, we construct for arbitrary reductive group a full eigenvariety, which
parameterizes all p-adic overconvergent cohomological eigenforms of the group in the …

In this thesis, we study the Hodge-Tate structure of the proétale cohomology of Shimura
varieties. This document is divided in four main issues. First, we construct an integral model …

We develop the $ p $-adic representation theory of $ p $-adic Lie groups on solid vector
spaces over a complete non-archimedean extension of $\mathbf {Q} _p $. More precisely …

We show there exist representations of each maximal compact subgroup $ K $ of the $ p $-
adic group $ G=\mathrm {SL}(2, F) $, attached to each nilpotent coadjoint orbit, such that …

For an inner form $\mathrm {G} $ of a general linear group or classical group over a non-
archimedean local field of odd residue characteristic, we decompose the category of smooth …