報告題目：Skew braces and related structures
報 告 人：Senne Trappeniers
所在單位：Vrije Universiteit Brussel
報告時間：2024年3月28日 20:00-22:00
報告地點：Zoom Id: 904 645 6677，Password: 2024
報告摘要: Historically, (skew) braces are algebraic structures that arose out of the study of set-theoretic solutions of the Yang-Baxter equation. Braces were defined by Rump in 2006 and skew braces by Guarnieri and Vendramin in 2017. They provide a nice framework to formulate some older results of Etingof, Schedler, Soloviev regarding the Yang-Baxter equation, but also provide new constructions and insights. Since these seminal papers, research around skew braces has both improved the understanding of their interplay with the Yang-Baxter equation, but also unveiled unexpected connections with for example Hopf-Galois extensions, pre-Lie rings and post-Lie algebras. In this talk, the goal is to give an overview of some of these connections and state related open research questions.
報告人簡介：Senne Trappeniers is PhD student at the Vrije Universiteit Brussel under supervision of Leandro Vendramin. His research interests are centered around skew braces, ranging from purely skew brace theoretic questions to connections with other mathematical structures like Hopf-Galois extensions, set-theoretic solutions of the Yang-Baxter equation and pre-Lie rings.
