Speaker:  Anastasia Doikou (Heriot-Watt University, Edinburgh, UK)

Title:  Set-theoretic Yang-Baxter equation, twists & quandle Hopf algebras

Date and time:  27.11.2024, 17:00 (GMT +03:00)

Abstract: The theory of the set-theoretic Yang-Baxter equation is established from a purely algebraic point of view. The derivation of solutions of the braid equation via certain self-distributive structures called racks and quandles is reviewed. Generic, non-involutive set-theoretic solutions of the braid equation are then obtained from rack solutions by a suitable Drinfel'd twist, whereas all involutive solutions are obtained from the flip map via a twist. The universal algebras associated to both rack and generic set-theoretic solutions are also studied and the corresponding universal R-matrices are derived.

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