Seminari Simba: The use of skew braces in Hopf-Galois theory.
La conferència serà a càrrec de Daniel Gil Muñoz i es farà a l'aula 005 de la FME.
- https://mat.upc.edu/ca/activitats/seminari-simba-the-use-of-skew-braces-in-hopf-galois-theory
- Seminari Simba: The use of skew braces in Hopf-Galois theory.
- 2023-10-04T13:00:00+02:00
- 2023-10-04T15:00:00+02:00
- La conferència serà a càrrec de Daniel Gil Muñoz i es farà a l'aula 005 de la FME.
04/10/2023 de 13:00 a 15:00 (Europe/Madrid / UTC200)
El seminari interuniversitari SIMBa (Seminari Informal de Matemàtiques de Barcelona, https://www.ub.edu/simba/en/) adreçat a joves matemàtics i impulsat per la UPC i la BGSMath, entre d'altres, torna a la FME per començar el curs. La primera conferència del curs es farà a la UPC el dimecres 4 d'octubre a les 13h a la FME i també es retransmetrà per Zoom.
Conferenciant: Daniel Gil Muñoz (Universitat de Barcelona)
Títol: The use of skew braces in Hopf-Galois theory.
Dia i hora: Dimecres 4 d'octubre a les 13:00.
Lloc: Aula 005 de la FME i Zoom.
Abstract: The notion of Galois extension can be rewritten in such a way that it depends only on the Galois group and its action on the top field of the extension. Moreover, the group algebra corresponding to the Galois group can be endowed with a Hopf algebra structure. These facts inspire the notion of Hopf-Galois extension: an extension that admits a Hopf algebra together with a linear action on the top field satisfying analogous conditions. Such a pair is called a Hopf-Galois structure. Consequently, every Galois extension is Hopf-Galois, but not the other way around. In this talk, we provide an introduction to these topics as well as their link, on which we shall view some recent results.
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