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The endoscopic fundamental lemma for unitary Friedberg-Jacquet periods

delete2025-05-01
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Spencer Leslie *
DOI:10.4007/annals.2025.201.3.1delete
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Abstract

Abstract

En 中文
We prove the endoscopic fundamental lemma for the Lie algebra of the symmetric variety U(2n)/U(n) x U(n), where U(n) denotes a unitary group of rank n. This is the first major step in the stabilization of the relative trace formula associated to the U(n) x U(n)-periods of automorphic forms on U(2n).
Keywords:
Fundamental lemma
endoscopy
spherical varieties
relative trace formulas
periods of automorphic forms
Weil Representation
nilpotent orbital integrals

Journal

Annals of Mathematics cover
Annals of Mathematics
IF:
5.3
Papers:
1.4K
Citations:
1.6W

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