BIMSA > Automorphic representations and Harmonic analysis Automorphic representations and Harmonic analysis New progress on unitary dual problem
New progress on unitary dual problem
Organizers
Taiwang Deng , Sergei Oblezin , Dongming She
Speaker
Zhang Hongfeng
Time
Thursday, October 8, 2026 1:30 PM - 2:45 PM
Venue
A3-4-301
Online
Zoom 435 529 7909 (BIMSA)
Abstract
The unitary dual of real reductive groups is fundamental in representation theory and plays a crucial role in the Langlands program. In this talk, I will introduce the unitary dual problem for real reductive groups, discussing the known results and conjectures. Then I will present some new progress related to classical groups, specifically for the complex spin groups and unitary groups. Finally, I will give an application on the Shimura correspondence. This is based on joint work with Wan-Yu,Tsai and Kayue Daniel Wong.