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.
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