研讨班

09-02-2023

吴晨彦: Theta correspondence and simple factors of global Arthur parameters

Theta correspondence and simple factors of global Arthur parameters

Speaker:吴晨彦 (澳大利亚墨尔本大学); 腾讯会议:707-705-234

Time: 2023/02/23 18:30-19:30

Abstract:

Let $\pi$ be a cuspidal automorphic representation of a classical group or a metaplectic group.

We show an exact relation between two invariants associated to $\pi$, one called the lowest occurrence index of $\pi$ which is an invariant arising from theta lifts and the other the location of the maximal positive pole of an Eisenstein series attached to $\pi$ and a character.

As an application, We show that certain global Arthur packets cannot contain cuspidal automorphic representations.

分享

学院办公室:010-82507161

本科生教务:010-62513386

研究生教务与国际交流:010-82507161

党团学办公室:010-62515886

在职课程培训班:010-82507075

 

邮编:100872

电话:010-82507161

传真:010-62513316

E-mail:mathruc@ruc.edu.cn/mathrucdw@ruc.edu.cn

地址:北京市海淀区中关村大街59号中国人民大学数学楼

数学学院公众号

版权所有 中国人民大学数学学院 升星提供技术服务