cctv5篮球公园平台介绍 - cctv5篮球公园
Applications of Hecke Algebra in the Representation of Reductive Groups
发布时间：2023年08月28日
浏览次数：4753
发布者: Ying Hao
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.
