Algebraic Geometry, Automorphic Forms, Number Theory and Geometric Representation Theory

Date: 7 - 11 June 2027

Location: Laboratoire de Mathématiques d'Orsay

This conference is dedicated to the memory of Gérard Laumon who had a very strong influence on the mathematics of his time. In algebraic geometry, he introduced a version of the Fourier transform in étale cohomology and used it to give a proof of Weil’s conjectures. In the field of automorphic forms, he proved, with Rapoport and Stuhler, the local Langlands conjecture for equal characteristic local fields, by investigating the cohomology of spaces of local Stukas. He introduced key ideas in the global geometric Langlands program, and produced candidates for the Hecke eigensheaves, known as Laumon sheaves. He played a key role in the proof of the fundamental Lemma, including the weighted version which is necessary for the stabilization of Arthur’s trace formula.

This conference will gather international experts working on different aspects of the Langlands program, on the theory of automorphic forms, and on geometric representation theory, many of whom have been Laumon’s students or collaborators.

CMI Enhancement and Partnership Program