Le lemme fondamental m\'etaplectique de Jacquet et Mao en \'egales caract\'eristiques

TL;DR

This paper proves a fundamental lemma for the metaplectic group in equal characteristic, confirming a conjecture by Jacquet and Mao using geometric methods and Ngô's arguments.

Contribution

It establishes the fundamental lemma for the metaplectic group in equal characteristic, extending the scope of Ngô's techniques to this setting.

Findings

Proof of the fundamental lemma for metaplectic groups in equal characteristic

Application of Ngô's geometric methods to metaplectic extensions

Validation of Jacquet and Mao's conjecture in this context

Abstract

We prove in the case of equal characteristic a fundamental lemma conjectured by Jacquet and Mao for the metaplectic group. We use the arguments of Bao Ch\^au Ng\^o for Jacquet-Ye's fundamental lemma and a geometric study of the metaplectic extension.