Time：16:00-17:30, Wednesday, October 14 2026
Venue：E14-301
Speaker：Anne-Marie Aubert, CNRS
Biography: Anne-Marie Aubert is a Director of Research at the French National Centre for Scientific Research (CNRS), based at the Institut de Mathématiques de Jussieu–Paris Rive Gauche (IMJ-PRG) in Paris. She previously worked at the École Normale Supérieure in Paris and has been a researcher at CNRS since 1990. Her research focuses on the representation theory of reductive p-adic groups, the Langlands program, Hecke algebras, and noncommutative geometry. She introduced the duality for smooth representations of p-adic reductive groups now known as the Aubert involution. Her recent work studies, among other topics, local Langlands correspondences for Bernstein blocks, affine Hecke algebras, Bruhat–Tits buildings, and tempered and unipotent representations of p-adic groups.
Title：The Springer correspondence: from nilpotent orbits to Langlands parameters
Abstract：The Springer correspondence is a remarkable link between geometry, algebra, and representation theory. It associates representations of a Weyl group (a finite group arising naturally from the symmetries of a Lie group) to geometric objects called nilpotent orbits.
The correspondence is far from obvious. Nilpotent orbits arise from a geometric problem about matrices and Lie algebras, while representations of Weyl groups are a purely algebraic notion. The connection is revealed by studying the geometry of flags preserved by nilpotent matrices and by exploiting the symmetries that appear when these geometric objects vary.
We will explain the basic ideas behind this correspondence, illustrate them through simple examples, and see how they lead to the much richer generalized Springer correspondence. We will also indicate how this theory has become an important ingredient in modern approaches to the Langlands program.
