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arXiv · 1608.03837

A Local Relative Trace Formula for the Ginzburg-Rallis Model: the Geometric Side

Chen Wan
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Abstract

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 Ginzburg-Rallis 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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BibTeXRIS

Chen Wan. 2016-08-12. A Local Relative Trace Formula for the Ginzburg-Rallis Model: the Geometric Side. https://arxiv.org/abs/1608.03837

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