Given a p-adic representation of the Galois group of a local field, we show that its Galois
cohomology can be computed using the associated étale (φ, Γ)-module over the Robba ring; …

Let p be a prime, K a finite extension of Qp and T a finite free Zp-representation of Gal
(K¯/K). We prove that [Formula: see text] is semi-stable (resp. crystalline) with Hodge–Tate …

In this paper, we study the tannakian properties of the Fontaine-Laffaille functor V_cris
thanks to the theory of Wach's modules. We construct a point of the torsor linking cristalline …

ATOMES GALOISIENS ET (ϕ,Γ)-MODULES Contents 1. Classification des représentations
modulo p du groupe de Galois local p-adique Page 1 ATOMES GALOISIENS ET (ϕ,Γ)-MODULES …

We prove the existence in many cases of minimally ramified p-adic lifts of 2-dimensional
continuous, odd, absolutely irreducible, mod p representations ρ of the absolute Galois …

Main change from v1: theorem C has been modified, see remark 3.1. 7 (2). We study the
category of B-pairs (W_e, W_dR^+) where W_e is a free B_cris^{phi= 1}-module with a …

La conjecture dit qu'une représentation continue irréductible impaire du groupe de Galois
de Q dans un espace vectoriel de dimension 2 sur un corps fini F de caractéristique p …