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A relative trace formula approach to the stable trace formula on the unitary group

Author(s)
Lu, Weixiao
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Advisor
Zhang,Wei
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In Copyright - Educational Use Permitted Copyright retained by author(s) https://rightsstatements.org/page/InC-EDU/1.0/
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Abstract
We develop a relative trace formula on GLₙ which can be compared to the stable trace formula on the unitary group. Locally, we prove the fundamental lemma and transfer. We also proof a character identity based on the transfer. Globally, we develop a (simple) relative trace formula and compared it to the (simple) stable trace formula on the unitary group.
Date issued
2025-05
URI
https://hdl.handle.net/1721.1/159956
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Massachusetts Institute of Technology

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