A Local Relative Trace Formula for the Ginzburg-Rallis Model: The Geometric Side
Author:   Chen Wan
Publisher:   American Mathematical Society
ISBN:  

9781470436865


Pages:   90
Publication Date:   30 December 2019
Format:   Paperback
Availability:   In Print   Availability explained
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A Local Relative Trace Formula for the Ginzburg-Rallis Model: The Geometric Side


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Overview

Following the method developed by Waldspurger and Beuzart-Plessis in their proofs of the local Gan-Gross-Prasad conjecture, the author is able to prove the geometric side of a local relative trace formula for the Ginzburg-Rallis model. Then by applying such formula, the author proves a multiplicity formula of the Ginzburg-Rallis model for the supercuspidal representations. Using that multiplicity formula, the author proves the multiplicity one theorem for the Ginzburg-Rallis model over Vogan packets in the supercuspidal case.

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