Darboux transformations, Yang-Baxter maps and their noncommutative extensions

In this talk, we use Darboux transformations related to Nonlinear Schrödinger type equations in order to construct discrete integrable systems and also Yang-Baxter maps (namely, set-theoretical solutions of the Yang-Baxter equation). We show how one can extend these results to the noncommutative case (in a Grassmann setting).

Dr. Sotirios Konstantinou-Rizos is a young scientist working on  integrable systems and mathematical physics. He received his PhD from the University of Leeds in 2015, and is currently Leading Researcher at the Centre of Integrable Systems and associate professor of the Faculty of Maths & Information Technology at the P.G. Demidov Yaroslavl State University, Russia. His main research interests are focused on discrete integrable systems and Yang-Baxter maps. He has presented his results in various international conferences and workshops.