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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| 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 |
| Sumario: | 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. |
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