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Categorical local Langlands for GLn for parameters of Langlands-Shahidi type with integral coefficients

dc.contributor.advisorScholze, Peter
dc.contributor.authorZou, Kuangda Konrad
dc.date.accessioned2025-09-11T12:56:13Z
dc.date.available2025-09-11T12:56:13Z
dc.date.issued11.09.2025
dc.identifier.urihttps://hdl.handle.net/20.500.11811/13439
dc.description.abstractWe prove the categorical form of Fargues' geometrization conjecture for GLn along L-parameters of Langlands-Shahidi type for rational, torsion, and integral coefficients. Additionally, we prove that in this case the categorical equivalence is t-exact, which yields new torsion vanishing results in the cohomology of unitary Shimura varieties.en
dc.language.isoeng
dc.rightsIn Copyright
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectcategorical Langlands theory
dc.subjectFargues-Scholze
dc.subjectLanglands-Shahidi type
dc.subject.ddc510 Mathematik
dc.titleCategorical local Langlands for GLn for parameters of Langlands-Shahidi type with integral coefficients
dc.typeDissertation oder Habilitation
dc.publisher.nameUniversitäts- und Landesbibliothek Bonn
dc.publisher.locationBonn
dc.rights.accessRightsopenAccess
dc.identifier.urnhttps://nbn-resolving.org/urn:nbn:de:hbz:5-84962
ulbbn.pubtypeErstveröffentlichung
ulbbnediss.affiliation.nameRheinische Friedrich-Wilhelms-Universität Bonn
ulbbnediss.affiliation.locationBonn
ulbbnediss.thesis.levelDissertation
ulbbnediss.dissID8496
ulbbnediss.date.accepted09.09.2025
ulbbnediss.instituteMathematisch-Naturwissenschaftliche Fakultät : Fachgruppe Mathematik / Mathematisches Institut
ulbbnediss.fakultaetMathematisch-Naturwissenschaftliche Fakultät
dc.contributor.coRefereeHansen, David
ulbbnediss.contributor.orcidhttps://orcid.org/0009-0005-7084-7105


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