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.