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A local relative trace formula for the Ginzburg-Rallis model : the geometric side / Chen Wan.
Math/Physics/Astronomy Library QA3 .A57 no.1263
Available
- Format:
- Book
- Author/Creator:
- Wan, Chen, author.
- Series:
- Memoirs of the American Mathematical Society ; no. 1263.
- Memoirs of the American Mathematical Society, 0065-9266 ; number 1263
- Language:
- English
- Subjects (All):
- Trace formulas.
- Geometry, Algebraic.
- Physical Description:
- v, 90 pages : illustrations ; 26 cm.
- Place of Publication:
- Providence : American Mathematical Society, 2019.
- Summary:
- 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.
- Notes:
- "September 2019, volume 261, number 1263 (seventh of 7 numbers)."
- Includes bibliographical references.
- ISBN:
- 1470436868
- 9781470436865
- OCLC:
- 1109409722
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