4 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…