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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2016
- DOI:
- 10.48550/arXiv.1612.05008
- arXiv:
- arXiv:1612.05008
- Bibcode:
- 2016arXiv161205008T
- Keywords:
-
- Mathematics - Representation Theory;
- Mathematics - Number Theory;
- 11F27;
- 11F72
- E-Print:
- 21 pages. Contribution to the Proceedings of the Simons Symposium on Families of Automorphic Forms and the Trace Formula, 2016