Exposing relative endoscopy in unitary symmetric spaces
© Polák; licensee Springer. 2015
Received: 22 December 2014
Accepted: 8 March 2015
Published: 10 July 2015
We introduce a new class of symmetric space orbital integrals important for applications in certain relative trace formula appearing in the theory of automorphic representations. We verify a fundamental lemma for U2×U2↪U4 via an explicit calculation, giving the first known example of endoscopy for symmetric spaces and showing strong evidence that there is a general theory of endoscopy lurking in this situation.
AMS subject classification Primary 20G05