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

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.

arXiv comment76p, in French

Cited by in corpus (3)

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• A reformulation of the conjecture of Prasad and Takloo-Bighash
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