Applications of Hecke Algebra in the Representation of Reductive Groups
Time: 2023-08-28
Published By: Ying Hao
Speaker(s): Jiajun Ma (Xiamen University)
Time: 15:00-16:00 September 4, 2023
Venue: Room 77201, Jingchunyuan 78, BICMR
Abstract: Consider a reductive linear algebraic group G. Let H be the generic Hecke algebra attached to the Weyl group of G. The representations of G and H have many deep connections. In this talk, I will discuss our two recent works where Hecke algebras play a crucial role:
1. Counting special unipotent representations of real reductive groups
2. Determining the theta correspondence over finite fields.
I will also discuss the analog picture in the theta correspondence over p-adic fields when time permits.
1. Counting special unipotent representations of real reductive groups
2. Determining the theta correspondence over finite fields.
I will also discuss the analog picture in the theta correspondence over p-adic fields when time permits.
