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

Part of: Lie groups Linear algebraic groups and related topics

Published online by Cambridge University Press:  18 February 2015

R. Beuzart-Plessis
R. Beuzart-Plessis*
Affiliation:
Institute for Advanced Study, 1 Einstein Drive 08540, Princeton, NJ, USA email rbeuzart@gmail.com
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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.

Keywords

Gan–Gross–Prasad conjectureunitary groupsendoscopy

MSC classification

Primary: 22E50: Representations of Lie and linear algebraic groups over local fields 20G05: Representation theory
Type
Research Article
Information
Compositio Mathematica , Volume 151 , Issue 7 , July 2015 , pp. 1309 - 1371
Copyright
© The Author 2015 

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