{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/159956"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/159956","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"A relative trace formula approach to the stable trace formula on the unitary group","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Lu, Weixiao"],"institution":"Massachusetts Institute of Technology","degree_name":"Doctoral","degree_level":null,"degree_discipline":null,"degree_department":"Massachusetts Institute of Technology. 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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."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Ph.D."]},{"key":"dc:title","label":"Title","values":["A relative trace formula approach to the stable trace formula on the unitary group"]}]}],"canonical_facts":{"dc:contributor.advisor":["Zhang,Wei"],"dc:contributor.department":["Massachusetts Institute of Technology. Department of Mathematics"],"dc:creator":["Lu, Weixiao"],"dc:date.accessioned":["2025-07-07T17:40:26Z"],"dc:date.available":["2025-07-07T17:40:26Z"],"dc:date.issued":["2025-05"],"dc:description.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."],"dc:description.degree":["Ph.D."],"dc:identifier.uri":["https://hdl.handle.net/1721.1/159956"],"dc:publisher":["Massachusetts Institute of Technology"],"dc:rights":["In Copyright - Educational Use Permitted","Copyright retained by author(s)"],"dc:rights.uri":["https://rightsstatements.org/page/InC-EDU/1.0/"],"dc:title":["A relative trace formula approach to the stable trace formula on the unitary group"],"dc:type":["Thesis"],"thesis:degree_name":["Doctoral","Doctor of Philosophy"]},"updated_at":"2026-07-22T22:22:10Z"}