(0.0) Big Galois representations In this work we study cohomological invariants of “big
Galois representations” ρ: G−→ AutR (T), where (i) G is a suitable Galois group.(ii) R is a …

Following ideas of Berger and Breuil, we give a new classification of crystalline
representations. The objects involved may be viewed as local, characteristic 0 analogues of …

Serre’s modularity conjecture (II) Page 1 Invent math (2009) 178: 505–586 DOI 10.1007/s00222-009-0206-6
Serre’s modularity conjecture (II) Chandrashekhar Khare · Jean-Pierre Wintenberger …

Let $ K/\mathbb {Q} _p $ be a finite extension and $ G_K $ the absolute Galois group of $ K
$. For $(A^{\circ},\mathfrak {m}) $ a complete local ring with finite residue and $ V_ {A^{\circ}} …

To each 2-dimensional irreducible p-adic representation of Gal (Qpbar/Qp) which becomes
crystalline over an abelian extension of Q_p, we associate a Banach space B (V) endowed …

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; …

We construct explicitly some analytic families of étale (φ, Γ)-modules, which give rise to
analytic families of 2-dimensional crystalline representations. As an application of our …

We construct a two-variable analogue of Perrin-Riou's p-adic regulator map for the Iwasawa
cohomology of a crystalline representation of the absolute Galois group of ℚp, over a Galois …

The purpose of this article is to give formulas for Bloch-Kato's exponential map and its dual
for an absolutely crystalline padic representation V, in terms of the (ϕ, Γ)-module associated …

Galois Representations and Lubin-Tate Groups Page 1 Documenta Math. 441 Galois
Representations and Lubin-Tate Groups Mark Kisin and Wei Ren Received: May 3, 2009 …