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.
ISBN: | 9781470436865 |
Publication date: | 30th December 2019 |
Author: | Chen Wan |
Publisher: | American Mathematical Society |
Format: | Paperback |
Pagination: | 90 pages |
Series: | Memoirs of the American Mathematical Society |
Genres: |
Number theory Calculus and mathematical analysis |