Anticyclotomic Euler systems for unitary groups

Abstract

Let $n\ge 1$ be an odd integer. We construct an anticyclotomic Euler system for certain cuspidal automorphic representations of unitary groups with signature $(1,2n-1)$.

arXiv commentFinal version. To appear in Proc. London Math. Soc

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• Spherical varieties and norm relations in Iwasawa theory
• An Euler system for GU(2, 1)
• The endoscopic fundamental lemma for unitary Friedberg-Jacquet periods
• On the p-adic interpolation of unitary Friedberg--Jacquet periods
• Special cycles on orthogonal Shimura varieties