Olivier Taibi

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math.NT2026

Invariance Galoisienne des zÃ©ros centraux de fonctions L

Laurent Clozel, Arno Kret, Olivier TaÃ¯bi

Nous dÃ©montrons l'invariance Galoisienne de la propriÃ©tÃ© d'annulation en $1/2$ des fonctions L standard ou de Rankin-Selberg pour certaines reprÃ©sentations automorphes cuspidal…

math.NT2026

Unimodular lattices of rank 29 and related even genera of small determinant

GaÃ«tan Chenevier, Olivier TaÃ¯bi

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…

math.NT2026

The Euler characteristic of $ℓ$ -adic local systems on $A_{n}$

Olivier TaÃ¯bi

We study the Euler characteristic of $ℓ$ -adic local systems on the moduli stack $A_{n}$ of principally polarized abelian varieties of dimension $n$ associated to algebra…

math.NT2026

A Nomizu-van Est theorem in Ekedahl's derived $ℓ$ -adic setting

Olivier TaÃ¯bi

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…

math.NT2025

The local Langlands conjecture

Olivier TaÃ¯bi

We formulate the local Langlands conjecture for connected reductive groups over local fields, including the internal parametrization of L-packets using endoscopy.

Invariance Galoisienne des zÃ©ros centraux de fonctions L

Unimodular lattices of rank 29 and related even genera of small determinant

The Euler characteristic of ℓ-adic local systems on An​

A Nomizu-van Est theorem in Ekedahl's derived ℓ-adic setting

The local Langlands conjecture

The Euler characteristic of $ℓ$ -adic local systems on $A_{n}$

A Nomizu-van Est theorem in Ekedahl's derived $ℓ$ -adic setting