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

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Author(s)
Lu, Weixiao
Advisor(s)
Zhang,Wei
Date Issued
May 2025
Publisher
Massachusetts Institute of Technology
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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