Title: Skew Braces and Related Structures
Speaker: Senne Trappeniers
Institution: Vrije Universiteit Brussel
Date & Time: March 28, 2024, 20:00–22:00
Location: Zoom ID: 904 645 6677, Password: 2024
Historically, (skew) braces are algebraic structures originating from the study of set-theoretic solutions to the Yang-Baxter equation. Braces were introduced by Rump in 2006, and skew braces by Guarnieri and Vendramin in 2017. These structures not only provide a unified framework for reinterpreting classical results by Etingof, Schedler, and Soloviev on the Yang-Baxter equation but also enable new constructions and insights. Since their introduction, research on skew braces has deepened our understanding of their relationship with the Yang-Baxter equation and revealed unexpected connections to areas such as Hopf-Galois extensions, pre-Lie rings, and post-Lie algebras. This talk surveys these connections and highlights related open research questions.
Senne Trappeniers is a PhD student at the Vrije Universiteit Brussel, supervised by Leandro Vendramin. His research focuses on skew braces, encompassing both purely algebraic investigations into their structure and their interactions with other mathematical frameworks, including Hopf-Galois extensions, set-theoretic solutions to the Yang-Baxter equation, and pre-Lie rings.
