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

Published online by Cambridge University Press:  18 February 2015

R. Beuzart-Plessis*
Affiliation:
Institute for Advanced Study, 1 Einstein Drive 08540, Princeton, NJ, USA email [email protected]
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Abstract

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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.

Type
Research Article
Copyright
© The Author 2015 

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