2026-09-19T20:24:14Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/1221782026-06-16T18:52:51Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Wei Zhang.
Xiao, Jingwei,Ph.D.Massachusetts Institute of Technology.
Massachusetts Institute of Technology. Department of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2019-09-16T22:34:39Z
2019-09-16T22:34:39Z
2019
2019
https://hdl.handle.net/1721.1/122178
1117775396
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2019
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 85-87).
In this thesis, we study the germ expansions in the Jacquet-Rallis transfer. We prove an identity that relates certain nilpotent orbital integrals for any smooth matching in this transfer. We give two applications of this identity. For the first, we give an elementary local proof of the endoscopic fundamental lemma for unitary groups (theorem of Laumon and Ngo). For the second, we establish a new relative trace formula comparison conjectured by Jacquet that can be used to study unitary periods.
by Jingwei Xiao.
Ph.D.
Ph.D. Massachusetts Institute of Technology, Department of Mathematics
87 pages
eng
Massachusetts Institute of Technology
MIT theses are protected by copyright. They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission.
http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Germ expansion, endoscopic transfer, and unitary periods
Thesis
application/pdf
2019-09-16T22:34:36Z
Publication
Doctoral
Math
unknown
unknown
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