The endoscopic fundamental lemma for unitary Friedberg-Jacquet periods

• 成果类型: Article
• 署名作者: Leslie, Spencer
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2025.201.3.1
• 发表日期: 2025
• 页码: 551-645
• 关键词: relative trace formulas; IDENTITIES

摘要

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).