English

Endoscopie et conjecture raffin\'ee de Gan-Gross-Prasad pour les groupes unitaires

Representation Theory 2015-07-29 v2 Number Theory

Abstract

Under endoscopic assumptions about LL-packets of unitary groups, we prove the local Gan-Gross-Prasad conjecture for tempered representations of unitary groups over pp-adic fields. Roughly, this conjecture says that branching laws for U(n1)U(n)U(n-1)\subset U(n) can be computed using epsilon factors.

Keywords

Cite

@article{arxiv.1212.0951,
  title  = {Endoscopie et conjecture raffin\'ee de Gan-Gross-Prasad pour les groupes unitaires},
  author = {Raphaël Beuzart-Plessis},
  journal= {arXiv preprint arXiv:1212.0951},
  year   = {2015}
}

Comments

76p, in French