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

Raphaël Beuzart-Plessis Université de Provence d'Aix-Marseille I, Université de la Méditerranée d'Aix-Marseille II, Université Paul Cézanne d'Aix-Marseille III, Marseille, France Yifeng Liu Institute for Advanced Study in Mathematics, Zhejiang University, Hangzhou ZHEJI, PR China Wei Zhang Department of Mathematics, Massachusetts Institute of Technology, Cambridge MA 02141 Xinwen Zhu Department of Mathematics, California Institute of Technology, Pasadena CA 91125

Number Theory mathscidoc:2203.24004

Annals of Mathematics, 194, 519-584, 2021.9
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)×U(n+1) in the stablecase.
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@inproceedings{raphaël2021isolation,
  title={Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture},
  author={Raphaël Beuzart-Plessis, Yifeng Liu, Wei Zhang, and Xinwen Zhu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220317162136208124998},
  booktitle={Annals of Mathematics},
  volume={194},
  pages={519-584},
  year={2021},
}
Raphaël Beuzart-Plessis, Yifeng Liu, Wei Zhang, and Xinwen Zhu. Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture. 2021. Vol. 194. In Annals of Mathematics. pp.519-584. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220317162136208124998.
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