Representation Theory| The Prasad conjecture

Speaker： Dr. Lu Hengfei/吕恒飞 （Weizmann Institute of Science）

Title: The Prasad conjecture

Time：14:30-15:30pm, 4 Nov, 2019 (Monday)

Location：105，Sir Run Run Shaw Business Administration building

Abstract: We will give a brief introduction to the Prasad conjecture about the distinction problem of G(E)/G(F). Then we will try to use the local theta correspondence to study the analogous situation for the metaplectic case. Finally we will give a conjecture for the multiplicity dim Hom_{Sp(2n,F)}(/tau, 1) for a representation /tau of Mp(2n,E) which is closely related to the Prasad conjecture for the general spin group G=GSpin(2n+1).

Contact person：Gao Fan (gaofan@zju.edu.cn)