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.

Full Product Details

Author:   Chen Wan
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.200kg
ISBN:  

9781470436865


ISBN 10:   1470436868
Pages:   90
Publication Date:   30 December 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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.

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Chen Wan, University of Minnesota, Minneapolis, Minnesota.

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