Weil representation and Arithmetic Fundamental Lemma

• 成果类型: Article
• 署名作者: Zhang, W.
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2021.193.3.5
• 发表日期: 2021
• 页码: 863-978
• 关键词: intersection theory; derivatives; cycles

摘要

We study a partially linearized version of the relative trace formula for the arithmetic Gan-Gross-Prasad conjecture for the unitary group U(V). The linear factor in this relative trace formula provides an SL2-symmetry which allows us to prove by induction the arithmetic fundamental lemma over Q(p) when p is odd and p >= dim V.