中央研究院數學研究所

Seminar in Representation Theory

Affine and asymptotic Hecke algebras and p-adic groups

2025/01/15 (Wed.) 15:30~16:30

日期 : 2025/01/15 (Wed.) 15:30~16:30
地點 : 中研院數學所 6樓演講廳 (台大校區)
主講人 : Stefan Dawydiak (University of Bonn)
籌辦人 : Cheng-Chiang Tsai (AS)
演講摘要 : The role of affine Hecke algebras in the representation theory of p-adic groups has recently grown to account for the entire theory. On the other hand, it is expected that an enlargement of the class of standard representations of a p-adic group should admit an interpretation in terms of the geometrization of the local Langlands correspondence by Fargues-Scholze. I will provide some evidence for a description of this conjectural class in terms of (asymptotic) affine Hecke algebras, building on work of Braverman-Kazhdan, and earlier work of Lusztig. I will also survey some geometric incarnations of asymptotic Hecke algebras in the case of equal parameters, and some resulting applications.