6 citations · 12 across the 12 of their papers we have counts for
14 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 cuspidales a…
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 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 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…
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.
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…
Discrete series multiplicities for classical groups over Z and level 1 algebraic cusp forms
Gaëtan Chenevier, Olivier Taïbi
The aim of this paper is twofold. First, we introduce a new method for evaluating the multiplicity of a given discrete series in the space of level automorphic forms of a split…
Siegel modular forms of weight 13 and the Leech lattice
Gaëtan Chenevier, Olivier Taïbi
For and , there is a nonzero alternating -multilinear form on the lattice, unique up to a scalar, which is invariant by the orthogonal group of ${\…
Global rigid inner forms vs isocrystals
Tasho Kaletha, Olivier Taïbi
We compare the cohomology of the global Galois gerbes constructed in [Kot] and [Kal18a], respectively, and give applications to the theory of endoscopy.
Arthur's multiplicity formula for GSp and restriction to Sp
Toby Gee, Olivier Taïbi
We prove the classification of discrete automorphic representations of GSp explained in [Art04], as well as a compatibility between the local Langlands correspondences for GSp$…
On rigid inner forms
Olivier Taïbi
We give an explicit construction of global Galois gerbes constructed more abstractly by Kaletha to define global rigid inner forms. This notion is crucial to formulate Arthur's mul…
Arthur's multiplicity formula for certain inner forms of special orthogonal and symplectic groups
Olivier Taïbi
Let G be a special orthogonal group or an inner form of a symplectic group over a number field F such that there exists a non-empty set S of real places of F at which G has discret…
Dimensions of spaces of level one automorphic forms for split classical groups using the trace formula
Olivier Taïbi
We consider the problem of explicitly computing dimensions of spaces of automorphic or modular forms in level one, for a split classical group over such t…
Eigenvarieties for classical groups and complex conjugations in Galois representations
Olivier Taïbi
The goal of this paper is to remove the irreducibility hypothesis in a theorem of Richard Taylor describing the image of complex conjugations by -adic Galois representations ass…