Following the method Waldspurger and Bezart-Plessie developed in their proofs of the local Gan-Gross-Prasad conjecture, Wan is able to prove the geometric side of a local relative trace formula for the Ginzburg-Rallis model. Then, by applying such formula, he proves a multiplicity formula of the Ginzburg-Rallis model for the super-cuspidal representations. Using the multiplicity formula in turn, he proves the the multiplicity one theorem for the Ginzburg-Rallis model over Vogan packets in the super-cuspidal case. Annotation ©2020 Ringgold, Inc., Portland, OR (protoview.com)
Introduction and main result
Preliminarities
Quasi-characters
Strongly cuspidal functions
Statement of the Trace formula
Proof of Theorem 1.3
Localization
Integral transfer
Calculation of the limit $\lim _N\rightarrow \infty I_x,\omega ,N(f)$
Proof of Theorem 5.4 and Theorem 5.7
Appendix A. The proof of Lemma 9.1 and Lemma 9.11
Appendix B. The reduced model
Appendix B. The reduced model
Bibliography.
Chen Wan, University of Minnesota, Minneapolis, Minnesota.
