ICTP MATH SEMINAR - Friday, 16 June at 14:00 - Tony Ezome

[ICTP Math Section]

_ICTP MATHS SEMINAR_

Friday 16 June 2023 at 14:00 (ROME TIME)

Venue:  Leonardo Building - Luigi Stasi Seminar Room


Speaker: Tony Ezome (École Normale Supérieure - ENS, Libreville, Gabon 
and Pole of Research in Mathematics and Applications in Africa - PREMA)

Title: Hopf-Galois Extensions and Applications


Abstract: Hopf-Galois theory is a generalization of the classical Galois 
theory. The concept of Hopf-Galois extension is due to Chase and 
Sweedler. They introduced it in 1969 to study purely inseparable 
extensions of fields and ramified extensions of rings. Then, in 1987, 
Greither and Pareigis developed Hopf-Galois theory for separable field 
extensions.
In this talk, we first describe minimal Hopf-Galois structures of 
separable field extensions. Then we present normal bases of some 
Hopf-Galois extensions, namely those constructed from algebraic curves. 
And then we describe the resulting arithmetic properties.