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$p$-adic differential Galois theory and Galois cohomology
Identificadores del recurso
http://hdl.handle.net/2445/184648
Origin
(Dipòsit Digital de la Universitat de Barcelona)

File

Title:
$p$-adic differential Galois theory and Galois cohomology
Tema:
Geometria algebraica
Homologia
Teoria de Galois
Teoria de grups
Treballs de fi de grau
Algebraic geometry
Homology
Galois theory
Group theory
Bachelor's thesis
Description:
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.
Idioma:
English
Autor/Productor:
Calderer i García, Genís
Otros colaboradores/productores:
Crespo Vicente, Teresa
Rights:
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
Date:
2022-04-05T10:14:27Z
2021-06-18
Tipo de recurso:
info:eu-repo/semantics/bachelorThesis
Format:
46 p.
application/pdf

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    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>

    </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>

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