Isolation of cuspidal spectrum, with application to the Gan–Gross–Prasad conjecture

Raphaël Beuzart-Plessis; Yifeng Liu; Wei Zhang; Xinwen Zhu

doi:10.4007/annals.2021.194.2.5

Isolation of cuspidal spectrum, with application to the Gan–Gross–Prasad conjecture

Raphaël Beuzart-Plessis
, Yifeng Liu
, Wei Zhang
, Xinwen Zhu

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We introduce a new technique for isolating components on the spectral side of the trace formula. By applying it to the Jacquet–Rallis relative trace formula, we complete the proof of the global Gan–Gross–Prasad conjecture and its refinement Ichino–Ikeda conjecture for U(n) X U(n + 1) in the stable case.

langue originale	Anglais
Pages (de - à)	519-584
Nombre de pages	66
journal	Annals of Mathematics
Volume	194
Numéro de publication	2
Les DOIs	https://doi.org/10.4007/annals.2021.194.2.5
état	Publié - 1 sept. 2021
Modification externe	Oui

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10.4007/annals.2021.194.2.5

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title = "Isolation of cuspidal spectrum, with application to the Gan–Gross–Prasad conjecture",

abstract = "We introduce a new technique for isolating components on the spectral side of the trace formula. By applying it to the Jacquet–Rallis relative trace formula, we complete the proof of the global Gan–Gross–Prasad conjecture and its refinement Ichino–Ikeda conjecture for U(n) X U(n + 1) in the stable case.",

keywords = "Cuspidal automorphic representations, Gan–gross–prasad conjecture, Isolation of spectrum, Multipliers, Trace formula",

author = "Rapha{\"e}l Beuzart-Plessis and Yifeng Liu and Wei Zhang and Xinwen Zhu",

note = "Publisher Copyright: {\textcopyright} 2021. Department of Mathematics, Princeton University.",

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AU - Beuzart-Plessis, Raphaël

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AU - Zhang, Wei

AU - Zhu, Xinwen

PY - 2021/9/1

Y1 - 2021/9/1

N2 - We introduce a new technique for isolating components on the spectral side of the trace formula. By applying it to the Jacquet–Rallis relative trace formula, we complete the proof of the global Gan–Gross–Prasad conjecture and its refinement Ichino–Ikeda conjecture for U(n) X U(n + 1) in the stable case.

AB - We introduce a new technique for isolating components on the spectral side of the trace formula. By applying it to the Jacquet–Rallis relative trace formula, we complete the proof of the global Gan–Gross–Prasad conjecture and its refinement Ichino–Ikeda conjecture for U(n) X U(n + 1) in the stable case.

KW - Cuspidal automorphic representations

KW - Gan–gross–prasad conjecture

KW - Isolation of spectrum

KW - Multipliers

KW - Trace formula

UR - https://www.scopus.com/pages/publications/85129864560

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DO - 10.4007/annals.2021.194.2.5

M3 - Article

AN - SCOPUS:85129864560

SN - 0003-486X

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JO - Annals of Mathematics

JF - Annals of Mathematics

IS - 2

ER -

Isolation of cuspidal spectrum, with application to the Gan–Gross–Prasad conjecture

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