S\'eries discr\`etes des espaces sym\'etriques et paquets d'Arthur
Representation Theory
2023-02-27 v2
Abstract
We check Sakellaridis-Venkatesh conjectures giving a description of the discrete spectrum of a spherical variety in the Langlands-Arthur formalism when is a classical real group and 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.
Keywords
Cite
@article{arxiv.1906.00725,
title = {S\'eries discr\`etes des espaces sym\'etriques et paquets d'Arthur},
author = {Colette Moeglin and David Renard},
journal= {arXiv preprint arXiv:1906.00725},
year = {2023}
}
Comments
V2, 38 pages, in French, 2 tables