Categorical local Langlands for GLn for parameters of Langlands-Shahidi type with integral coefficients
Categorical local Langlands for GLn for parameters of Langlands-Shahidi type with integral coefficients
View/Type of Scholarly Publication
DissertationDate of Exam
09.09.2025Date of Publication
11.09.2025Advisor
Scholze, PeterCo-Referee
Hansen, DavidMetadata
Show full item record
Citable Links 
Abstract
We 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.
Subjects
categorical Langlands theory, Fargues-Scholze, Langlands-Shahidi type
Classification (DDC)
510 MathematikZou, Kuangda Konrad: Categorical local Langlands for GLn for parameters of Langlands-Shahidi type with integral coefficients. - Bonn, 2025. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5-84962
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5-84962
@phdthesis{handle:20.500.11811/13439,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5-84962,
author = {{Kuangda Konrad Zou}},
title = {Categorical local Langlands for GLn for parameters of Langlands-Shahidi type with integral coefficients},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2025,
month = sep,
note = {We 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.},
url = {https://hdl.handle.net/20.500.11811/13439}
}
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5-84962,
author = {{Kuangda Konrad Zou}},
title = {Categorical local Langlands for GLn for parameters of Langlands-Shahidi type with integral coefficients},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2025,
month = sep,
note = {We 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.},
url = {https://hdl.handle.net/20.500.11811/13439}
}
The following license files are associated with this item:
