Jean-François Dat

activity

20112026

collaborators

7 papers

math.RT2026

Parametrization and reduction to depth zero of $Z [\frac{1}{p}]$ -blocks of tame $p$ -adic groups

Jean-François Dat, Jessica Fintzen

Let $G$ be a reductive group over a non-archimedean local field $F$ of residue characteristic $p$ . We consider pairs $(ϕ, I)$ consisting of a "wild inertia" Langlands parameter $ϕ:…

math.RT2024

Local Langlands in families: The banal case

Jean-François Dat, David Helm, Robert Kurinczuk +1

We state a conjecture, local Langlands in families, connecting the centre of the category of smooth representations on $Z [q^{- 1}]$ -modules of a quasi-split $p$ -adic…

math.RT2022

Finiteness for Hecke algebras of $p$ -adic groups

Jean-Francois Dat, David Helm, Robert Kurinczuk +1

Let $G$ be a reductive group over a non-archimedean local field $F$ of residue characteristic $p$ . We prove that the Hecke algebras of $G (F)$ with coefficients in a ${\mathbb Z}_{\…

math.RT2022

Depth zero representations over $Z [\frac{1}{p}]$

Jean-François Dat, Thomas Lanard

We consider the category of depth $0$ representations of a $p$ -adic quasi-split reductive group with coefficients in $Z [\frac{1}{p}]$ . We prove that the blocks…

math.RT2016

Equivalences of tame blocks for p-adic linear groups

Jean-François Dat

Let p and $ℓ$ be two distinct primes, F a p-adic field and n an integer. We show that any level 0 block of the category of smooth Z $ℓ$ -valued representations of GL n (F) is…

math.RT2016

A functoriality principle for blocks of p-adic linear groups

Jean-François Dat

Bernstein blocks of complex representations of p-adic reductive groups have been computed in a large amount of examples, in part thanks to the theory of types a la Bushnell and Kut…

math.NT2011

A geometric interpretation of the nilpotent part of local Langlands correspondence modulo l

Jean-Francois Dat

Let p and l be two distinct primes. We show how, under a certain congruence hypothesis, the mod l cohomology of the Lubin-Tate tower together with a certain Lefschetz operator prov…

Parametrization and reduction to depth zero of Z[p1​]-blocks of tame p-adic groups

Local Langlands in families: The banal case

Finiteness for Hecke algebras of p-adic groups

Depth zero representations over Z[p1​]

Equivalences of tame blocks for p-adic linear groups

A functoriality principle for blocks of p-adic linear groups

A geometric interpretation of the nilpotent part of local Langlands correspondence modulo l

Parametrization and reduction to depth zero of $Z [\frac{1}{p}]$ -blocks of tame $p$ -adic groups

Finiteness for Hecke algebras of $p$ -adic groups

Depth zero representations over $Z [\frac{1}{p}]$