Full stable trace formula for the group Mp(2n)

Speaker: LI Wenwei, Beijing International Center for Mathematical Research

Venue: Room 211, Run Run Shaw Science Building, Yuquan Campus

Abstract:

The metaplectic covering Mp(2n) of Sp(2n) plays a pivotal role in various aspects of representation theory and arithmetics. In order to harness the full power of Arthur's methods in this setting, we need a stable trace formula for Mp(2n). Thus far, only the elliptic terms have been stabilized. In this talk, I will report an ongoing work on the full stabilization, which will hopefully grant access to the whole genuine discrete automorphic spectrum of Mp(2n), for general n. This is based on the techniques of Arthur and Moeglin-Waldspurger, who worked with linear reductive groups or their twisted analgoues.

Contact: GAO Fan(gaofan@zju.edu.cn)