Exposing Relative Endoscopy in Unitary Symmetric Spaces

2014/12/19 by Polák, Jason K. C.
#20G05 #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1412.6193

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 U₂× U₂\hookrightarrow U₄ via an explicit calculation, showing strong evidence that there is a general theory of endoscopy lurking in this situation.

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