Class field theory and Galois cohomology

The aim of this project is to serve as a path from basic homological algebra to class field theory. The reader just needs a basic knowledge of commutative algebra and Galois theory. The chapters of this work are not just steps towards our goal, but they can serve as individual foundations for studyi...

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Detalles Bibliográficos
Autor: Dougas Chavarria, Néstor
Tipo de recurso: tesis de maestría
Fecha de publicación:2023
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/392886
Acceso en línea:https://hdl.handle.net/2117/392886
Access Level:acceso abierto
Palabra clave:Algebraic number theory
Profinite Groups
Galois Cohomology
p-adic numbers
Local Fields
Class Field Theory
Local Artin map
Nombres, Teoria algebraica de
Classificació AMS::11 Number theory::11R Algebraic number theory: global fields
Àrees temàtiques de la UPC::Matemàtiques i estadística
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spelling Class field theory and Galois cohomologyDougas Chavarria, NéstorAlgebraic number theoryProfinite GroupsGalois Cohomologyp-adic numbersLocal FieldsClass Field TheoryLocal Artin mapNombres, Teoria algebraica deClassificació AMS::11 Number theory::11R Algebraic number theory: global fieldsÀrees temàtiques de la UPC::Matemàtiques i estadísticaThe aim of this project is to serve as a path from basic homological algebra to class field theory. The reader just needs a basic knowledge of commutative algebra and Galois theory. The chapters of this work are not just steps towards our goal, but they can serve as individual foundations for studying mathematical fields such as group cohomology, numbers, direct and projective limits, or local fields.Universitat Politècnica de CatalunyaRotger Cerdà, Víctor20232023-06-0120232023-08-29master thesishttp://purl.org/coar/resource_type/c_bdccNAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/masterThesisapplication/pdfhttps://hdl.handle.net/2117/392886reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-ShareAlike 4.0 Internationalhttp://creativecommons.org/licenses/by-sa/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3928862026-05-27T15:37:01Z
dc.title.none.fl_str_mv Class field theory and Galois cohomology
title Class field theory and Galois cohomology
spellingShingle Class field theory and Galois cohomology
Dougas Chavarria, Néstor
Algebraic number theory
Profinite Groups
Galois Cohomology
p-adic numbers
Local Fields
Class Field Theory
Local Artin map
Nombres, Teoria algebraica de
Classificació AMS::11 Number theory::11R Algebraic number theory: global fields
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short Class field theory and Galois cohomology
title_full Class field theory and Galois cohomology
title_fullStr Class field theory and Galois cohomology
title_full_unstemmed Class field theory and Galois cohomology
title_sort Class field theory and Galois cohomology
dc.creator.none.fl_str_mv Dougas Chavarria, Néstor
author Dougas Chavarria, Néstor
author_facet Dougas Chavarria, Néstor
author_role author
dc.contributor.none.fl_str_mv Rotger Cerdà, Víctor
dc.subject.none.fl_str_mv Algebraic number theory
Profinite Groups
Galois Cohomology
p-adic numbers
Local Fields
Class Field Theory
Local Artin map
Nombres, Teoria algebraica de
Classificació AMS::11 Number theory::11R Algebraic number theory: global fields
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Algebraic number theory
Profinite Groups
Galois Cohomology
p-adic numbers
Local Fields
Class Field Theory
Local Artin map
Nombres, Teoria algebraica de
Classificació AMS::11 Number theory::11R Algebraic number theory: global fields
Àrees temàtiques de la UPC::Matemàtiques i estadística
description The aim of this project is to serve as a path from basic homological algebra to class field theory. The reader just needs a basic knowledge of commutative algebra and Galois theory. The chapters of this work are not just steps towards our goal, but they can serve as individual foundations for studying mathematical fields such as group cohomology, numbers, direct and projective limits, or local fields.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-06-01
2023
2023-08-29
dc.type.none.fl_str_mv master thesis
http://purl.org/coar/resource_type/c_bdcc
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/392886
url https://hdl.handle.net/2117/392886
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-ShareAlike 4.0 International
http://creativecommons.org/licenses/by-sa/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
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Attribution-ShareAlike 4.0 International
http://creativecommons.org/licenses/by-sa/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de Catalunya
publisher.none.fl_str_mv Universitat Politècnica de Catalunya
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
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score 15,300724

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