On the Arithmetic Fundamental Lemma through Lie algebras

2015/02/10 by Mihatsch, Andreas
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1502.02855

Abstract

We prove that the Arithmetic Fundamental Lemma conjecture of Wei Zhang is equivalent to a similar conjecture, but for Lie algebras, in the case of non-degenerate intersection. We use this result to give a simplified proof of the AFL for n=3. The idea for the reduction to the Lie algebra is due to Wei Zhang.

Related

• On the Linear AFL: The Non-Basic Case
• Relative unitary RZ-spaces and the Arithmetic Fundamental Lemma
• Semi-Lie arithmetic fundamental lemma for the full spherical Hecke algebra
• The Geometric Nature of the Fundamental Lemma
• Le lemme fondamental pour les algebres de Lie