Speaker：Chengbo Zhu（National University of Singapore）

Time：2023-11-04 09:00

Location：Conference Room 105 at Experiment Building at Haiyun Campus

Abstract:

The theory of theta correspondence, initiated by R. Howe, provides a powerful method of constructing irreducible admissible representations of classical groups. In this lecture, I will survey some of the key applications of theta correspondence towards unitary representation theory, including unitary lowest weight modules, low rank unitary representations (in the sense of Howe), and special unipotent representations (in the sense of Arthur and Barbasch-Vogan).