Let ff be a cuspidal Hecke eigenform of level 1. We prove the automorphy of the symmetric
power lifting Sym nf Sym^nf for every n≥ 1 n≧1. We establish the same result for a more …

This book (1) takes place in a now thirty years long trend of researches, initiated by Ribet
([95]) aiming at constructing “arithmetically interesting” non trivial extensions between global …

The goal of this paper is to illustrate how the techniques of locally analytic p-adic
representation theory (as developed in [28, 29, 30, 31] and [13, 14, 17]; see also [16] for a …

Critical p-adic L-functions Page 1 Invent math (2012) 189:1–60 DOI 10.1007/s00222-011-0358-z
Critical p-adic L-functions Joël Bellaïche Received: 26 August 2010 / Accepted: 15 …

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

Let p be an odd prime and g≥ 2 an integer. We prove that a finite slope Siegel cuspidal
eigenform of genus g can be p-adically deformed over the g-dimensional weight space. The …

​ This book discusses the p-adic modular forms, the eigencurve that parameterize them,
and the p-adic L-functions one can associate to them. These theories and their …

On the eigencurve at classical weight 1 points Page 1 ON THE EIGENCURVE AT CLASSICAL
WEIGHT 1 POINTS JOËL BELLAÏCHE and MLADEN DIMITROV Abstract We show that the …

Hida families and rational points on elliptic curves Page 1 DOI: 10.1007/s00222-007-0035-4
Invent. math. 168, 371–431 (2007) Hida families and rational points on elliptic curves Massimo …

En utilisant le système de Taylor–Wiles–Kisin construit dans un travail récent de Caraiani,
Emerton, Gee, Geraghty, Paškūnas et Shin, nous construisons un analogue de la variété de …