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

Chen Wan (Autor)

Buch | Softcover

90 Seiten

2019
American Mathematical Society (Verlag)
978-1-4704-3686-5 (ISBN)

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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.

Chen Wan, University of Minnesota, Minneapolis, Minnesota.

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.

Erscheinungsdatum	31.12.2019
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	200 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	1-4704-3686-8 / 1470436868
ISBN-13	978-1-4704-3686-5 / 9781470436865
Zustand	Neuware