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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arXiv · 1912.07169

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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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 stable case.

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Raphaël Beuzart-Plessis, Yifeng Liu, Wei Zhang, Xinwen Zhu. 2019-12-16. Isolation of cuspidal spectrum, with application to the Gan--Gross--Prasad conjecture. https://arxiv.org/abs/1912.07169

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