Applications of Hecke Algebra in the Representation of Reductive Groups
发布时间：2023年08月28日
浏览次数：2209
发布者: Ying Hao
主讲人： 马家骏 （厦门大学）
活动时间： 从 2023-09-04 15:00 到 16:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
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.
