6 papers
Invariance Galoisienne des zéros centraux de fonctions L
Laurent Clozel, Arno Kret, Olivier Taïbi
Nous démontrons l'invariance Galoisienne de la propriété d'annulation en des fonctions L standard ou de Rankin-Selberg pour certaines représentations automorphes cuspidal…
Unimodular lattices of rank 29 and related even genera of small determinant
Gaëtan Chenevier, Olivier Taïbi
We classify the unimodular Euclidean integral lattices of rank 29 by developing an elementary, yet very efficient, inductive method. As an application, we determine the isometry cl…
The Euler characteristic of -adic local systems on
Olivier Taïbi
We study the Euler characteristic of -adic local systems on the moduli stack of principally polarized abelian varieties of dimension associated to algebra…
A Nomizu-van Est theorem in Ekedahl's derived -adic setting
Olivier Taïbi
A theorem of Nomizu and van Est computes the cohomology of a compact nilmanifold, or equivalently the group cohomology of an arithmetic subgroup of a unipotent linear algebraic gro…
The low degree cohomology of compactifications of
Samir Canning, Dan Petersen, Olivier Taïbi
We compute the low degree -adic intersection cohomology of symplectic local systems on the Satake compactification of the moduli space of principally polarized abelian…
The local Langlands conjecture
Olivier Taïbi
We formulate the local Langlands conjecture for connected reductive groups over local fields, including the internal parametrization of L-packets using endoscopy.