12 citations · 21 across the 7 of their papers we have counts for
8 papers
Décomposition au-dessus des paramètres de Langlands elliptiques
Vincent Lafforgue, Xinwen Zhu
We prove that, over any elliptic global Langlands parameter , the cuspidal cohomology groups of moduli stacks of shtukas are given by a formula involving a finite dimensional re…
Chtoucas restreints pour les groupes réductifs et paramétrisation de Langlands locale
Alain Genestier, Vincent Lafforgue
We associate to every irreducible representation of a reductive group over a local field of equal characteristics a local Langlands parameter up to semisimplification and prove the…
Actions affines isométriques propres des groupes hyperboliques sur des quotients d'espaces
Aurélien Alvarez, Vincent Lafforgue
We prove that any hyperbolic group admits a proper affine isometric action on a quotient space of a Banach space, for all sufficiently close to 1.
Actions affines isométriques propres des groupes hyperboliques sur des espaces
Aurélien Alvarez, Vincent Lafforgue
We give a simple and relatively short proof of the following fact: any hyperbolic group admits a proper affine isometric action on a -space for large enough. A first pr…
Introduction aux chtoucas pour les groupes réductifs et à la paramétrisation de Langlands globale
Vincent Lafforgue
This is an introduction to the article "Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale", arXiv:1209.5352. We explain all the ideas of the proof. For an…
Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale
Vincent Lafforgue
For any reductive group G over a global function field, we use the cohomology of G-shtukas with multiple modifications and the geometric Satake equivalence to prove the global Lang…
Structures de Hodge-Pink pour les -modules de Breuil et Kisin
Alain Genestier, Vincent Lafforgue
In this article, we apply the methods of our work on Fontaine's theory in equal characteristics to the -modules of Breuil and Kisin. Thanks to a previous article of…
La conjecture de Baum-Connes à coefficients pour les groupes hyperboliques
Vincent Lafforgue
This paper gives a proof of the Baum-Connes conjecture with coefficients for hyperbolic groups. More precisely the injectivity of the Baum-Connes map was established by Kasparov an…