For a smooth rigid space X over a perfectoid field extension K of, we investigate how the v-
Picard group of the associated diamond differs from the analytic Picard group of X. To this …

We construct a. Under minor assumptions, we deduce a conjecture of Gouvea on the Hodge-
Tate-Sen weights of Galois representations attached to overconvergent modular forms. Our …

We prove a perfectoid tilting isomorphism that describes the Hecke module of
overconvergent t-adic modular forms of Andreatta–Iovita–Pilloni at the boundary of weight …

The aim of this paper is twofold. We first present a construction of overconvergent
automorphic sheaves for Siegel modular forms by generalising the perfectoid method …

In the first part, we revisit Drinfeld modular curves associated to GL (2) from the perfectoid
point of view, and we show how to recover (a perfectized) part of the theory of …

We develop an analytic theory of cusps for Scholze's p-adic modular curves at infinite level
in terms of perfectoid parameter spaces for Tate curves. As an application, we describe a …

This thesis reports the three articles written by the author and his collaborators. These three
papers concern various arithmetic aspects of the algebraic group $\GSp_ {2g} $, which are …

We develop an analytic theory of cusps of the modular curve at infinite level X∗ Γ (p∞) and
some lower level modular curves in terms of perfectoid parameter spaces for Tate curves …