Exposing Relative Endoscopy in Unitary Symmetric Spaces
Abstract
We introduce a new class of symmetric space orbital integrals important for applications in certain relative trace formulas appearing in the theory of automorphic representations. We verify a fundamental lemma for $U_2\times U_2\hookrightarrow U_4$ via an explicit calculation, showing strong evidence that there is a general theory of endoscopy lurking in this situation.
 Publication:

arXiv eprints
 Pub Date:
 December 2014
 arXiv:
 arXiv:1412.6193
 Bibcode:
 2014arXiv1412.6193P
 Keywords:

 Mathematics  Representation Theory;
 Mathematics  Number Theory;
 20G05
 EPrint:
 21 pages, comments very welcome