Germ expansion, endoscopic transfer, and unitary periods
Name
1117775396-MIT.pdf
Size
4.18 MB
Format
Adobe PDF
Checksum (MD5)
b0e6ce3b1020906b6bc49c758fa33123
Author(s)
Xiao, Jingwei,Ph.D.Massachusetts Institute of Technology.
Advisor(s)
Wei Zhang.
Date Issued
2019
Publisher
Massachusetts Institute of Technology
Abstract
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.
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2019
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 85-87).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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