La formule des traces pour les revêtements de groupes réductifs connexes. I. Le développement géométrique fin

Abstract

We study the genuine part of the Arthur-Selberg trace formula for some nonlinear covers of connected reductive groups. As a first step towards the invariant trace formula, we express the geometric side in terms of weighted orbital integrals. In particular, our results apply to the covers constructed by Brylinksi and Deligne.

64 pages. The Definition 5.3.2 is changed; some minor mistakes in 6.1 are corrected

References in corpus (1)

• Principal series representations of metaplectic groups over local fields

Cited by in corpus (4)

• The Langlands-Weissman Program for Brylinski-Deligne extensions
• La formule des traces pour les revêtements de groupes réductifs connexes. III. Le développement spectral fin
• A theorem of Mœglin-Waldspurger for covering groups
• The Metaplectic Casselman-Shalika Formula