Lectures on automorphic descent (I)
发布时间：2017年07月07日
浏览次数：8102
发布者: He Liu
主讲人： David Soudry (Tel Aviv University)
活动时间： 从 2017-07-17 14:00 到 16:00
场地： 北京国际数学研究中心，全斋全9教室
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.
