Theta correspondence and unitary representations

：朱程波（新加坡国立大学）
：2023-11-04 09:00
：厦门大学海韵园实验楼105报告厅

报告人：朱程波（新加坡国立大学）

时  间：2023年11月4日09:00

地  点：厦门大学海韵园实验楼105报告厅

内容摘要:

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).

个人简介：

Zhu Chengbo is Provost’s Chair Professor of Mathematics at the National University of Singapore (NUS). He received his BSc from Zhejiang University in 1984, and his PhD from Yale University in 1990, and joined NUS the following year. His research interests are in representation theory of Lie groups, especially classical groups. Together with his collaborators, he has contributed to the branching problem of smooth representations, the theory of local theta correspondence, and to the understanding of a fundamental class of unitary representations known as special unipotent representations.

Professor Zhu was the President of the Singapore Mathematical Society from 2009-2012, and served as the Head of the Department of Mathematics at NUS from 2014-2020. He is a fellow of the Singapore National Academy of Science, and an invited speaker of the International Congress of Mathematicians in 2022.

联系人：余世霖