English

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 X=G/H\mathscr{X}=G/H in the Langlands-Arthur formalism when GG is a classical real group and X\mathscr{X} 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