Let L be a finite extension of Qp. We construct a (p-adic local Langlands) correspondence
attaching to any irreducible, 2-dimensional, L-representation of GQp, a unitary, admissible …

We define a family of Coleman maps for positive crystalline p-adic representations of the
absolute Galois group of Qp using the theory of Wach modules. Let f=∑ anqn be a …

Abstract (The p-adic local Langlands correspondence for GL2 (Qp)) The p-adic local
Langlands correspondence for GL2 (Qp) is a bijection between some 2-dimensional …

Let $ F $ be a finite extension of $\mathbb {Q} _p $, $ p> 2$. We construct admissible unitary
completions of certain representations of $\mathrm {GL} _2 (F) $ on $ L $-vector spaces …

GALOIS REPRESENTATIONS AND (ϕ,Γ)-MODULES Course given at IHP in 2010 by
Laurent Berger Page 1 GALOIS REPRESENTATIONS AND (ϕ,Γ)-MODULES Course given …

Let Kf be the finite unramified extension of Qp of degree f and E any finite large enough
coefficient field containing Kf. We construct analytic families of étale (ϕ, Γ)-modules which …