Speaker: Andrea Caranti (University of Trento, Italy)

Date and time: 30.03.2022, 17:00 (GMT +03:00)

Title: Regular subgroups, skew braces, gamma functions and Rota–Baxter operators

Abstract: Skew braces, a novel  algebraic structure introduced only in 2015, have already spawned a sizable literature. The skew  braces with a  given additive group structure  correspond to the  regular  subgroups  of  the permutational  holomorph  of  such  a group. These regular subgroups can in  turn be described in  terms of certain so-called gamma  functions from the group  to its automorphism group, which are characterised by a functional equation. We will show how gamma functions  can be used in studying skew braces, underlining in particular their relationship to Rota-Baxter operators.

To access the online seminar please contact  Anna Tolbey bekvaanna@gmail.com