2014/01/18 by Jean-Loup Waldspurger, Waldspurger, Jean-Loup
Mathematics · Medicine · #Esophageal and GI Pathology #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT
paper · pdf · doi:10.48550/arxiv.1401.4569
137 pages, in French
arxiv created 2014/01/18 · openalex publication_date 2014/01/18 · arxiv updated 2014/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is the first of a series of papers devoted to the stabilization of the twisted trace formula. It is just an introduction. We present the local theory of twisted endoscopy, following the fundamental works of Kottwitz-Shelstad, Labesse and Shelstad. Our presentation is partly new because we try to give canonical definitions of the basic objects, which are more usually defined using auxiliary data. We prove also some results about the image of endoscopic transfer and about the dual transfer of stable distributions whose support is a finite set of stable conjugacy classes.