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

R. Beuzart-Plessis

doi:10.1112/S0010437X14007891

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

R. Beuzart-Plessis

Institute for Advanced Study

Research output: Contribution to journal › Article › peer-review

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.

Original language	French
Pages (from-to)	1309-1371
Number of pages	63
Journal	Compositio Mathematica
Volume	151
Issue number	7
DOIs	https://doi.org/10.1112/S0010437X14007891
Publication status	Published - 25 Jul 2015
Externally published	Yes

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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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AB - 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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KW - endoscopy

KW - unitary groups

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

Abstract

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