2019/06/03 by Moeglin, Colette, David Renard, Renard, David
Mathematics · #Advanced Algebra and Geometry #Advanced Topology and Set Theory #Algebraic Geometry and Number Theory #FOS: Mathematics #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.1906.00725
openalex publication_date 2019/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We check Sakellaridis-Venkatesh conjectures giving a description of the discrete spectrum of a spherical variety \mathscrX=G/H in the Langlands-Arthur formalism when G is a classical real group and \mathscrX is a symmetric space. Then, we compute explicitly the representations in the relevant Arthur paquets which appear in the discrete spectrum, and we establish some multiplicity one results.