Dr Sotiris Konstantinou-Rizos, P.G. Demidov Yaroslavl State University
14:00 - 16:00
Dr Sotiris Konstantinou-Rizos
Lectures, talks and seminars
Mathematical Sciences, Department of
Dr Andrew Harrison firstname.lastname@example.org
Darboux transformations constitute a quite important tool in the theory of integrable systems. They map trivial solutions of PDEs to other nontrivial solutions, and they constitute a bridge between integrable PDEs and discrete integrable systems.
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.