{"id":{"repo_id":"toronto-retro","oai_identifier":"oai:utoronto.scholaris.ca:1807/33837"},"canonical_url":"https://search.dev.ndltd.org/etd/toronto-retro/oai:utoronto.scholaris.ca:1807/33837","repository":{"repo_id":"toronto-retro","name":"University of Toronto","base_url":"https://utoronto.scholaris.ca/server/oai/request"},"display":{"title":"A Local Twisted Trace Formula and Twisted Orthogonality Relations","abstract":"Around 1990, Arthur proved a local (ordinary) trace formula for real or p-adic connected reductive groups. The local trace formula is a powerful tool in the local harmonic analysis of reductive groups. One of the aims of this thesis is to establish a local twisted trace formula for certain non-connected reductive groups, which is a twisted version of Arthur’s local trace formula. As an application of the local twisted trace formula, we will prove some twisted orthogonality relations, which are generalizations of Arthur’s results about orthogonality relations for tempered elliptic characters. To establish these relations, we will also give a classification of twisted elliptic representations.","abstract_html":"Around 1990, Arthur proved a local (ordinary) trace formula for real or p-adic connected reductive groups. The local trace formula is a powerful tool in the local harmonic analysis of reductive groups. One of the aims of this thesis is to establish a local twisted trace formula for certain non-connected reductive groups, which is a twisted version of Arthur’s local trace formula. As an application of the local twisted trace formula, we will prove some twisted orthogonality relations, which are generalizations of Arthur’s results about orthogonality relations for tempered elliptic characters. To establish these relations, we will also give a classification of twisted elliptic representations.","abstract_has_math":false,"creators":["Li, Chao"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Mathematics","school":null,"contributors":[],"advisors":["Arthur, James"],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-12-05","date_published":"2012-12-05","updated_at":"2026-07-27T21:28:01Z","subjects":["Trace Formula","Orthogonality Relations","Twisted Reductive Groups","Elliptic Representations"],"languages":["en_ca"],"rights":["Attribution 2.5 Canada"],"rights_urls":["http://creativecommons.org/licenses/by/2.5/ca/"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/1807/33837","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Arthur, James"]},{"key":"dc:contributor.department","label":"Department","values":["Mathematics"]},{"key":"dc:creator","label":"Author","values":["Li, Chao"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-03"]},{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2012-12-05T21:14:12Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["NO_RESTRICTION","2012-12-05T21:14:12Z"]},{"key":"dc:date.issued","label":"Date","values":["2012-12-05"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Trace Formula","Orthogonality Relations","Twisted Reductive Groups","Elliptic Representations"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en_ca"]},{"key":"dc:rights","label":"Dc Rights","values":["Attribution 2.5 Canada"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://creativecommons.org/licenses/by/2.5/ca/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/1807/33837"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Around 1990, Arthur proved a local (ordinary) trace formula for real or p-adic connected reductive groups. The local trace formula is a powerful tool in the local harmonic analysis of reductive groups. One of the aims of this thesis is to establish a local twisted trace formula for certain non-connected reductive groups, which is a twisted version of Arthur’s local trace formula. As an application of the local twisted trace formula, we will prove some twisted orthogonality relations, which are generalizations of Arthur’s results about orthogonality relations for tempered elliptic characters. To establish these relations, we will also give a classification of twisted elliptic representations."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["PhD"]},{"key":"dc:title","label":"Title","values":["A Local Twisted Trace Formula and Twisted Orthogonality Relations"]}]}],"canonical_facts":{"dc:contributor.advisor":["Arthur, James"],"dc:contributor.department":["Mathematics"],"dc:creator":["Li, Chao"],"dc:date":["2012-03"],"dc:date.accessioned":["2012-12-05T21:14:12Z"],"dc:date.available":["NO_RESTRICTION","2012-12-05T21:14:12Z"],"dc:date.issued":["2012-12-05"],"dc:description.abstract":["Around 1990, Arthur proved a local (ordinary) trace formula for real or p-adic connected reductive groups. The local trace formula is a powerful tool in the local harmonic analysis of reductive groups. One of the aims of this thesis is to establish a local twisted trace formula for certain non-connected reductive groups, which is a twisted version of Arthur’s local trace formula. As an application of the local twisted trace formula, we will prove some twisted orthogonality relations, which are generalizations of Arthur’s results about orthogonality relations for tempered elliptic characters. To establish these relations, we will also give a classification of twisted elliptic representations."],"dc:description.degree":["PhD"],"dc:identifier.uri":["http://hdl.handle.net/1807/33837"],"dc:language.iso":["en_ca"],"dc:rights":["Attribution 2.5 Canada"],"dc:rights.uri":["http://creativecommons.org/licenses/by/2.5/ca/"],"dc:subject":["Trace Formula","Orthogonality Relations","Twisted Reductive Groups","Elliptic Representations"],"dc:title":["A Local Twisted Trace Formula and Twisted Orthogonality Relations"],"dc:type":["Thesis"]},"updated_at":"2026-07-27T21:28:01Z"}