Endoscopie et conjecture raffin\'ee 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)⊂ U(n) can be computed using epsilon factors.
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