{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/116039"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/116039","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Norms and transfers in motivic homotopy theory","abstract":"Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-08-01","abstract_html":"Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-08-01","abstract_has_math":false,"creators":["Shin, Brian"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Heller, Jeremiah B","Stojanoska, Vesna","McCarthy, Randy","Rezk, Charles W"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2022,"date_issued":"2022-08","date_published":"2022-08","updated_at":"2026-07-22T22:24:55Z","subjects":["Motivic Homotopy Theory","Homotopy Theory","Algebraic Geometry"],"languages":["en","eng"],"rights":["Copyright 2022 Brian Shin"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/2142/116039","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Heller, Jeremiah B","Stojanoska, Vesna","McCarthy, Randy","Rezk, Charles W"]},{"key":"dc:creator","label":"Author","values":["Shin, Brian"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2022-08","2022-06-27"]},{"key":"dc:type","label":"Dc Type","values":["text","Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Motivic Homotopy Theory","Homotopy Theory","Algebraic Geometry"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en","eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2022 Brian Shin"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://hdl.handle.net/2142/116039"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-08-01","The student, Brian Shin, accepted the attached license on 2022-06-24 at 16:36.","The student, Brian Shin, submitted this Dissertation for approval on 2022-06-24 at 16:46.","This Dissertation was approved for publication on 2022-06-27 at 17:00.","DSpace SAF Submission Ingestion Package generated from Vireo submission #18104 on 2022-11-15 at 19:16:46","We study norm functors in the sense of Bachmann--Hoyois for various $\\infty$-categories of correspondences occurring in motivic homotopy theory. We show in particular that the symmetric monoidal structure $\\infty$-category of framed correspondence can be refined to a norm monoidal structure, and that the resulting norm monoidal structure on the $\\infty$-category of motivic spectra with framed transfers is compatible with the Reconstruction Theorem of Elmanto--Hoyois--Khan--Sosnilo--Yakerson. This yields a recognition principle for normed motivic spectra. We show similar results for various other flavors of transfer, \\emph{e.g.} finite syntomic and oriented finite Gorenstein."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Norms and transfers in motivic homotopy theory"]}]}],"canonical_facts":{"dc:contributor":["Heller, Jeremiah B","Stojanoska, Vesna","McCarthy, Randy","Rezk, Charles W"],"dc:creator":["Shin, Brian"],"dc:date":["2022-08","2022-06-27"],"dc:description":["Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-08-01","The student, Brian Shin, accepted the attached license on 2022-06-24 at 16:36.","The student, Brian Shin, submitted this Dissertation for approval on 2022-06-24 at 16:46.","This Dissertation was approved for publication on 2022-06-27 at 17:00.","DSpace SAF Submission Ingestion Package generated from Vireo submission #18104 on 2022-11-15 at 19:16:46","We study norm functors in the sense of Bachmann--Hoyois for various $\\infty$-categories of correspondences occurring in motivic homotopy theory. We show in particular that the symmetric monoidal structure $\\infty$-category of framed correspondence can be refined to a norm monoidal structure, and that the resulting norm monoidal structure on the $\\infty$-category of motivic spectra with framed transfers is compatible with the Reconstruction Theorem of Elmanto--Hoyois--Khan--Sosnilo--Yakerson. This yields a recognition principle for normed motivic spectra. We show similar results for various other flavors of transfer, \\emph{e.g.} finite syntomic and oriented finite Gorenstein."],"dc:format":["application/pdf"],"dc:identifier":["https://hdl.handle.net/2142/116039"],"dc:language":["en","eng"],"dc:rights":["Copyright 2022 Brian Shin"],"dc:subject":["Motivic Homotopy Theory","Homotopy Theory","Algebraic Geometry"],"dc:title":["Norms and transfers in motivic homotopy theory"],"dc:type":["text","Thesis"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:24:55Z"}