%0 Journal Article
%T Endoscopie et conjecture raffinée de Gan-Gross-Prasad pour les groupes unitaires
%+ Institut de Mathématiques de Jussieu (IMJ)
%A Beuzart-Plessis, Raphaël
%Z 76p.
%< avec comité de lecture
%@ 0010-437X
%J Compositio Mathematica
%I Foundation Compositio Mathematica
%V 151
%N 7
%P 1309-1371
%8 2015-07
%D 2015
%Z 1212.0951
%R 10.1112/S0010437X14007891
%K conjecture de Gan-Gross-Prasad
%K groupe unitaire
%K facteur epsilon
%Z Mathematics [math]/Representation Theory [math.RT]
%Z Mathematics [math]/Number Theory [math.NT]Journal articles
%X 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.
%G French
%2 https://hal.science/hal-00761084v2/document
%2 https://hal.science/hal-00761084v2/file/endoscopieGPcorrected.pdf
%L hal-00761084
%U https://hal.science/hal-00761084
%~ UNIV-PARIS7
%~ UPMC
%~ CNRS
%~ IMJ
%~ UPMC_POLE_1
%~ SORBONNE-UNIVERSITE
%~ SU-SCIENCES
%~ UNIV-PARIS
%~ UP-SCIENCES
%~ SU-TI
%~ ALLIANCE-SU