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 …

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 …

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 …

We prove the vanishing of the geometric Bloch–Kato Selmer group for the adjoint
representation of a Galois representation associated to regular algebraic polarized cuspidal …

Under an assumption on the existence of p-adic Galois representations, we carry out Taylor–
Wiles patching (in the derived category) for the completed homology of the locally symmetric …

We describe the completed local rings of the trianguline variety at certain points of integral
weights in terms of completed local rings of algebraic varieties related to Grothendieck's …

Let p be a prime number and f an overconvergent p-adic automorphic form on a definite
unitary group which is split at p. Assume that f is of “classical weight” and that its Galois …

Résumé On conjecture que certaines représentations localement\mathbb Q _ p Q p-
analytiques irréductibles de GL _n (L) GL n (L) pour L:\mathbb Q _ p< ∞ L: Q p<∞ …

We prove, under mild hypotheses, that there are no irreducible two-dimensional potentially
semi-stable even $ p $-adic Galois representations of $\mathrm {Gal}(\overline {\mathbf {Q}}) …

The aim of this article is to study deformation theory of trianguline B-pairs for any p-adic field.
For benign B-pairs, a special good class of trianguline B-pairs, we prove a main theorem …