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Stabilisation de la formule des traces tordue II: intégrales orbitales et endoscopie sur un corps local non-archimédien; définitions et énoncés des résultats

2014/01/28 by Jean-Loup Waldspurger, Waldspurger, Jean-Loup · 1 citation
Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT

paper · pdf · doi:10.48550/arxiv.1401.7127

105 pages, in french

arxiv created 2014/01/28 · openalex publication_date 2014/01/28 · arxiv updated 2014/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is the second article of a series whose final goal is the stabilization of the twisted trace formula. Over a non archimedean field, we define (after Arthur) wheighted orbital integrals and their stable and endoscopic versions. We state the main theorems that will be proved in the following articles. We begin to study the local properties of our integrals, for instance expansion in Shalika germs.

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