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September 2021 Isolation of cuspidal spectrum, with application to the Gan–Gross–Prasad conjecture
Raphaël Beuzart-Plessis, Yifeng Liu, Wei Zhang, Xinwen Zhu
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Ann. of Math. (2) 194(2): 519-584 (September 2021). DOI: 10.4007/annals.2021.194.2.5

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 $\mathrm{U}(n) \times \mathrm{U}(n+1)$ in the stablecase.

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Raphaël Beuzart-Plessis. Yifeng Liu. Wei Zhang. Xinwen Zhu. "Isolation of cuspidal spectrum, with application to the Gan–Gross–Prasad conjecture." Ann. of Math. (2) 194 (2) 519 - 584, September 2021. https://doi.org/10.4007/annals.2021.194.2.5

Information

Published: September 2021
First available in Project Euclid: 21 December 2021

Digital Object Identifier: 10.4007/annals.2021.194.2.5

Subjects:
Primary: 11F67 , 11F70 , 11F72

Keywords: cuspidal automorphic representations , Gan--Gross--Prasad conjecture , isolation of spectrum , multipliers , trace formula

Rights: Copyright © 2021 Department of Mathematics, Princeton University

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Vol.194 • No. 2 • September 2021
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