报告题目： Set-theoretic Yang-Baxter equation, twists & quandle Hopf algebras
报 告 人：Anastasia Doikou
所在单位：Heriot-Watt University
报告时间：2024年11月21日 20:30-22:30
报告地点：Zoom Id: 904 645 6677，Password: 2024
会议链接：
https://zoom.us/j/9046456677?pwd=Y2ZoRUhrdWUvR0w0YmVydGY1TVNwQT09&omn=89697485456
报告摘要: 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 Drinfl'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.
报告人简介：Anastasia Doikou is a Professor of Mathematics at Heriot-Watt University in Edinburgh. She studied physics as an undergraduate at National & Kapodistrian University of Athens and she obtained her PhD in theoretical and mathematical physics from University of Miami in 1999. Between 1999 and 2007 she held postdoctoral positions at Durham University, University of York (EPSRC Fellow), LAPTH-Annecy and University of Bologna. She was assistant professor at University of Patras in Greece before joining Heriot-Watt University in 2013.
