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Linked Open Data
$p$-adic differential Galois theory and Galois cohomology
Identificadors del recurs
http://hdl.handle.net/2445/184648
Procedència
(Dipòsit Digital de la Universitat de Barcelona)

Fitxa

Títol:
$p$-adic differential Galois theory and Galois cohomology
Matèria:
Geometria algebraica
Homologia
Teoria de Galois
Teoria de grups
Treballs de fi de grau
Algebraic geometry
Homology
Galois theory
Group theory
Bachelor's theses
Descripció:
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Teresa Crespo Vicente
[en] The goal of this project has been to give a classification of the forms of Picard-Vessiot extensions defined over a differential field with field of constants $\mathbb{Q}_{p}$, which is not algebraically closed, and with differential Galois group $O\left(2, \mathbb{Q}_{p}\right)$ or $S O\left(2, \mathbb{Q}_{p}\right)$. To do so we present a theoretical background in algebraic geometry, group cohomology and differential Galois theory.
Font:
Treballs Finals de Grau (TFG) - Matemàtiques
Idioma:
English
Autor/Productor:
Calderer i García, Genís
Altres col·laboradors/productors:
Crespo Vicente, Teresa
Drets:
cc-by-nc-nd (c) Genís Calderer i García, 2021
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/openAccess
Data:
2022-04-05T10:14:27Z
2021-06-18
Tipus de recurs:
info:eu-repo/semantics/bachelorThesis
Format:
46 p.
application/pdf

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    12. < dc:subject.other > Group theory </ dc:subject.other >

    13. < dc:subject.other > Bachelor's theses </ dc:subject.other >

    14. < dcterms:abstract > [en] The goal of this project has been to give a classification of the forms of Picard-Vessiot extensions defined over a differential field with field of constants $\mathbb{Q}_{p}$, which is not algebraically closed, and with differential Galois group $O\left(2, \mathbb{Q}_{p}\right)$ or $S O\left(2, \mathbb{Q}_{p}\right)$. To do so we present a theoretical background in algebraic geometry, group cohomology and differential Galois theory. </ dcterms:abstract >

    15. < dcterms:dateAccepted > 2022-04-05T10:14:27Z </ dcterms:dateAccepted >

    16. < dcterms:available > 2022-04-05T10:14:27Z </ dcterms:available >

    17. < dcterms:created > 2022-04-05T10:14:27Z </ dcterms:created >

    18. < dcterms:issued > 2021-06-18 </ dcterms:issued >

    19. < dc:type > info:eu-repo/semantics/bachelorThesis </ dc:type >

    20. < dc:identifier > http://hdl.handle.net/2445/184648 </ dc:identifier >

    21. < dc:language > eng </ dc:language >

    22. < dc:rights > http://creativecommons.org/licenses/by-nc-nd/3.0/es/ </ dc:rights >

    23. < dc:rights > info:eu-repo/semantics/openAccess </ dc:rights >

    24. < dc:rights > cc-by-nc-nd (c) Genís Calderer i García, 2021 </ dc:rights >

    25. < dc:source > Treballs Finals de Grau (TFG) - Matemàtiques </ dc:source >

    </ qdc:qualifieddc >

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      1. < dc:title > $p$-adic differential Galois theory and Galois cohomology </ dc:title >

      2. < dc:creator > Calderer i García, Genís </ dc:creator >

      3. < dc:contributor > Crespo Vicente, Teresa </ dc:contributor >

      4. < dc:description > Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Teresa Crespo Vicente </ dc:description >

      5. < dc:description > [en] The goal of this project has been to give a classification of the forms of Picard-Vessiot extensions defined over a differential field with field of constants $\mathbb{Q}_{p}$, which is not algebraically closed, and with differential Galois group $O\left(2, \mathbb{Q}_{p}\right)$ or $S O\left(2, \mathbb{Q}_{p}\right)$. To do so we present a theoretical background in algebraic geometry, group cohomology and differential Galois theory. </ dc:description >

      6. < dc:date > 2022-04-05T10:14:27Z </ dc:date >

      7. < dc:date > 2022-04-05T10:14:27Z </ dc:date >

      8. < dc:date > 2021-06-18 </ dc:date >

      9. < dc:type > info:eu-repo/semantics/bachelorThesis </ dc:type >

      10. < dc:identifier > http://hdl.handle.net/2445/184648 </ dc:identifier >

      11. < dc:language > eng </ dc:language >

      12. < dc:rights > http://creativecommons.org/licenses/by-nc-nd/3.0/es/ </ dc:rights >

      13. < dc:rights > info:eu-repo/semantics/openAccess </ dc:rights >

      14. < dc:rights > cc-by-nc-nd (c) Genís Calderer i García, 2021 </ dc:rights >

      15. < dc:source > Treballs Finals de Grau (TFG) - Matemàtiques </ dc:source >

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