Understanding Set-Theoretic Solutions of the Yang–Baxter Equation Through Skew Braces (UCLouvain-ULB-VUB Category Theory Seminar)

by Dr Ilaria Colazzo (University of Leeds)

Monday 24 Nov 2025, 14:15 → 15:15 Europe/Brussels

B/2nd floor-B.203 - Seminar room (Marc de Hemptinne (chemin du Cyclotron, 2, Louvain-la-Neuve))

Skew braces are algebraic structures introduced to study set-theoretic solutions to the Yang–Baxter equation. They provide a framework that connects group-theoretic and ring-theoretic methods with the combinatorial properties of these solutions. 
This talk will offer an introduction to skew braces and their main properties, with an emphasis on their role in constructing and analysing solutions to the Yang–Baxter equation. As an application, we will briefly outline how skew braces can be used to describe simple solutions.