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 …

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 …

Si M est un motif défini sur un corps de nombres, on sait lui associer (au moins
conjecturalement) une fonction analytique complexe L (M, s) définie par un produit eulérien …

Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields Page 1
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 27, Number 3, July 2014 …

Irregular primes—37 being the first such prime—have played a great role in number theory.
This article discusses Ken Ribet's construction—for all irregular primes $ p $—of specific …

Let K be an imaginary quadratic field. In this article, we study the eigenvariety for GL 2/K,
proving an étaleness result for the weight map at non-critical classical points and a …

This paper connects the vanishing at the central critical value of the L-functions of certain
polarized regular motives with the positivity of the rank of the associated p-adic (Bloch-Kato) …

Let k be a positive integer divisible by 4, p> ka prime, f an elliptic cuspidal eigenform
(ordinary at p) of weight k− 1, level 4 and nontrivial character. In this paper we provide …

Let f1 (resp. f2) denote two (elliptic) newforms of prime level N, trivial character and weight 2
(resp. k+ 2, where k∈{8, 12}). We provide evidence for the Bloch–Kato conjecture for the …