CNRS · LMV Versailles

Thomas
Lanard.

CNRS Research Scientist
Representation theory and the Langlands program
01

About.

Section 01 — About
Thomas Lanard

My research lies in number theory, centered on the Langlands program. I am particularly interested in the representations of p-adic groups, a field at the interface of arithmetic, algebra, and geometry.

More precisely, I study their modular variant, where the methods of the complex case no longer apply directly. To approach it, I combine tools from the representation theory of finite reductive groups, such as Deligne-Lusztig theory, with geometric objects such as the Bruhat-Tits building.

02

Publications.

Section 02 — Publications
Topics:
2026

Algebra & Number Theory 20 (2026), no. 7, 1451–1478
J.-F. Dat, T. Lanard
depth zero blocksrepresentations in familiesLanglands parametersFargues–Scholze
Published
2025

Preprint
T. Lanard, A. Mínguez
Aubert-Zelevinsky dualityLanglands parametersclassical groupsMoeglin-Waldspurger algorithmmachine learning
Preprint
2024

Compositio Mathematica, 160(10), 2285–2321
P. Cui, T. Lanard, H. Lu
distinctionmodular representationsGalois involutionPrasad conjectureLanglands parametersGL2 / SL2
Published
2023

Algebra & Number Theory 17 (2023), no. 9, 1533–1572
T. Lanard
unipotent ℓ-blocksmodular representationDeligne–Lusztig theory(d,1)-seriesBruhat–Tits building
Published
2021

Representation Theory 25 (2021), 422–439
T. Lanard
coefficient systemssystems of idempotentsBruhat–Tits buildingequivalence of categories
Published
2021

Ann. Sci. Éc. Norm. Supér. (4) 54 (2021), no. 3, 683–750
T. Lanard
depth-zero blocksmodular representationsystems of idempotentsDeligne–Lusztiglocal Langlands correspondence
Published
2018

Compositio Mathematica 154 (2018), no. 7
T. Lanard
depth-zero blocksmodular representationsystems of idempotentsDeligne–Lusztiglocal Langlands correspondence
Published
03

Talks.

Section 03 — Talks
Year2017
2027
35 results
Type
Jun 2027
The Atlas of Lie Groups and Representations and Other Computational Advances for Real and p-adic Groups.Upcoming
Cergy, FR
Summer school
May 2026
Seminar of Algebra
Seville, ES
Seminar
Apr 2026
Seminar Groupes, Algèbre et Géométrie
Poitiers, FR
Seminar
Feb 2026
Number Theory Seminar
Bordeaux, FR
Seminar
Jan 2026
Geometric representation theory and automorphic forms
Sanya, CN
Conference
Dec 2025
Seminar Groupes Réductifs et Formes Automorphes
Paris, FR
Seminar
Nov 2025
Representation theory of p-adic groups
Zagreb, HR
Workshop
Oct 2025
Number Theory Seminar
Sheffield, UK
Seminar
04

Other activities.

Section 04 — Other activities
05 / A

Supervision.

PhD students supervised.

PhD (co-supervision with Jean-François Dat) · since 2025
05 / B

Software.

Mathematical tools, open access.

SageMath / Python package for computing the Aubert–Zelevinsky involution for classical groups.
Sage · Python
A website featuring computational tools dedicated to representation theory and the Langlands programme. Discover the concepts of representation theory without having to write a single line of code.
Web app
05 / C

Scientific activities.

Organisation, committees, events.

Weekly co-organisation, LMV Versailles
since 2022
Steering committee, Fondation Mathématique Jacques Hadamard
since 2024
Organisation of the regional round in Versailles of the Tournoi Français des Jeunes Mathématiciennes et Mathématiciens
since 2025