A Local Relative Trace Formula for the Ginzburg-Rallis Model: the Geometric Side
Representation Theory
2016-12-16 v2
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.
Keywords
Cite
@article{arxiv.1608.03837,
title = {A Local Relative Trace Formula for the Ginzburg-Rallis Model: the Geometric Side},
author = {Chen Wan},
journal= {arXiv preprint arXiv:1608.03837},
year = {2016}
}
Comments
95 Pages, corrected typos and some minor errors. This version has been accepted by the Memoirs of the AMS