Lectures on automorphic descent (I)
主 题: Lectures on automorphic descent (I)
报告人: David Soudry ()
时 间: 2017-07-17 14:00 - 2017-07-17 16:00
地 点: Room 9, Quan Zhai, BICMR
I will survey my work with Ginzburg and Rallis, where we constructed, for a given self-dual (irreducible, automorphic,) cuspidal representation \\tau on GL(n), a generic, cuspidal representation \\pi on an appropriate classical group, such that \\pi lifts functorially to \\tau. The construction results naturally from Rankin-Selberg integrals for GxGL(n). The automorphic descent of \\tau, which is the representation \\pi, is obtained by applying a certain Fourier coefficient, stabilized by G, to the residue at s=1 of a certain Eisenstein series parabolically induced from \\tau.<\/span>
