Endoscopie et conjecture raffinée de Gan-Gross-Prasad pour les groupes unitaires

• Abstract
• Abstract (translated by Google)
• URL
• PDF

Abstract

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

Abstract (translated by Google)

URL

https://arxiv.org/abs/1212.0951

PDF

https://arxiv.org/pdf/1212.0951