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$p$-adic differential Galois theory and Galois cohomology

Identificadores del recurso

http://hdl.handle.net/2445/184648

Procedència

(Dipòsit Digital de la Universitat de Barcelona)

Fitxa

Títol:: $p$-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 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
Otros colaboradores/productores:: 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
Tipo de recurso:: info:eu-repo/semantics/bachelorThesis
Format:: 46 p.; application/pdf

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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>
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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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