The Shimura-Waldspurger correspondence for Mp(2n)

Abstract

We describe some recent developments and formulate some conjectures in the genuine representation theory and the study of automorphic forms of the metaplectic group $\mathrm{Mp}(2n)$, from the point of view of the theta correspondence as well as from the point of view of the theory of endoscopy and the trace formula.

21 pages. Contribution to the Proceedings of the Simons Symposium on Families of Automorphic Forms and the Trace Formula, 2016