Weil representation and Arithmetic Fundamental Lemma

Abstract

By a global approach, we prove the arithmetic fundamental lemma conjecture for unitary groups in $n$ variables over ${\mathbb{Q}}_p$ when $p\ge n$.

arXiv commentFinal version, to appear in Ann. of Math

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Cited by in corpus (4)

• Fine Deligne-Lusztig varieties and Arithmetic Fundamental Lemmas
• The endoscopic fundamental lemma for unitary Friedberg-Jacquet periods
• Local Constancy of Intersection Numbers
• Rapoport--Zink spaces for spinor groups with special maximal parahoric level structure