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A local relative trace formula for the Ginzburg-Rallis model: the geometric side.

Chen Wan Massachusetts Institute of Technology

Representation Theory mathscidoc:1908.30001

Memoirs of the AMS, to appear
Following the method developed by Waldspurger and Beuzart-Plessis in their proofs of the local Gan-Gross-Prasad conjecture, we are able to prove the geometric side of a local relative trace formula for the Ginzburg-Rallis model. Then by applying such formula, we prove a multiplicity formula of the GinzburgRallis model for the supercuspidal representations. Using that multiplicity formula, we prove the multiplicity one theorem for the Ginzburg-Rallis model over Vogan packets in the supercuspidal case.
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@inproceedings{chena,
  title={A local relative trace formula for the Ginzburg-Rallis model: the geometric side.},
  author={Chen Wan},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190820234558920898427},
  booktitle={Memoirs of the AMS, to appear},
}
Chen Wan. A local relative trace formula for the Ginzburg-Rallis model: the geometric side.. In Memoirs of the AMS, to appear. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190820234558920898427.
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