Some satisfactory and unsatisfactory aspects of the dual groups for central covers

Abstract: We consider finite degree central covers of a linear reductive group in the local setting. Using some examples as the highlights, we will explain the dual group of such a central cover, and illustrate how much it captures the representation-theoretic information of the central cover, and also how much it fails for the same purpose. We concentrate on two aspects of a representation: formal degree and wavefront set.

Mathematics

Audience: researchers in the topic

Comments: Zoom number: 743 736 2326 Zoom password: 013049.

PKU/BICMR Number Theory Seminar