Number Theory and Representation Theory Seminar
数论与表示论讨论班
Number Theory and Representation Theory Seminar
Time: June 28, Wednesday, 15:00-16:00
Venue: Lecture Hall
Speaker:Bin Xu 徐斌(Tsinghua University)
Title:On the structure of Arthur packets for real symplectic and orthogonal groups
Abstract: The irreducible admissible representations of Arthur class are the local components of automorphic representations. They are conjectured to be parametrized by the Arthur parameters, and the set of irreducible representations associated with a single Arthur parameter is called an Arthur packet. For symplectic and orthogonal groups, the Arthur packets have been determined by Arthur, and their structure in the p-adic case can be understood in a very complicated way by the works of Moeglin, Xu, Atobe. In this talk, we would like to introduce some conjectures on their structure in the real case, which are motivated by the results in the p-adic case. This is an ongoing project with Taiwang Deng and Chang Huang.
简历:徐斌,博士(多伦多大学),2018年5月任清华大学丘成桐数学科学中心副教授;研究方向:自守表示论,Langlands纲领