ETD

Digital archive of theses discussed at the University of Pisa

 

Tesi etd-10072020-162947


Thesis type
Tesi di laurea magistrale
Author
PIRANI, MATTIA
URN
etd-10072020-162947
Thesis title
Splitting families in Galois cohomology
Department
MATEMATICA
Course of study
MATEMATICA
Supervisors
relatore Prof. Szamuely, Tamás
Keywords
  • torsors
  • Yoneda extensions group
  • Galois cohomology
  • splitting families
Graduation session start date
23/10/2020;
Consultabilità
Completa
Summary
The aim of this thesis is the construction of splitting families in Galois cohomology, following the homonymous article of Demarche and Florence. This is done by using two tools, one algebraic and one geometric. The algebraic one is given by the Yoneda extensions group, which has been introduced to extend the Ext functor to all the abelian categories. The geometric one is given by torsors. By using the language of torsors, we can see the first Galois cohomology set from a geometric point of view.
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