The automorphic discrete spectrum of Mp(4)
Time: Wed, 11 Sep 2019, 15:30-17:00
Place: Lecture hall at the 3rd floor, Jinchunyuan West Building
Speaker: Atsushi Ichino (Kyoto University)
Abstract:
In his 1973 paper, Shimura established a lifting from half-integral weight modular forms to integral weight modular forms. After that, Waldspurger studied this in the framework of automorphic representations and classified the automorphic discrete spectrum of the metaplectic group Mp(2), which is a nonlinear double cover of SL(2), in terms of that of PGL(2). We discuss a generalization of his classification to the metaplectic group Mp(4) of rank 2. This is joint work with Wee Teck Gan.