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 $p\ge n$.

Final version, to appear in Ann. of Math

References in corpus (3)

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Kudla--Rapoport cycles and derivatives of local densities
• Relative trace formulae toward Bessel and Fourier-Jacobi periods of unitary groups

Cited by in corpus (3)

• 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