Local Langlands correspondence and affine Hecke algebras
- A+
：Anne-Marie Aubert （Institut de Mathématiques de Jussieu – Paris Rive Gauche,C.N.R.S., Sorbonne Université, Université Paris Cité）
： 2023-11-05 09:00
：Conference Room 105 at Experiment Building at Haiyun Campus
Speaker：Anne-Marie Aubert （Institut de Mathématiques de Jussieu – Paris Rive Gauche,C.N.R.S., Sorbonne Université, Université Paris Cité）
Time：2023-11-5, 09:00
Location：Conference Room 105 at Experiment Building at Haiyun Campus
Abstract:
The irreducible smooth representations of p-adic reductive groups and the enhanced Langlands parameters of these latter can both be partitioned into series indexed by certain cuspidal data. On the representation side, cuspidality refers to supercuspidal representations of Levi subgroups, while on the Galois side it refers to cuspidal unipotent pairs, as introduced by Lusztig, in certain subgroups of the Langlands dual groups. In addition, on both sides of the correspondence, the elements in a given series are in bijection with the simple modules of a generalized affine Hecke algebra. We will review these results and explain how they can be used in order to build the local Langlands correspondence.
