Darboux transformations, Yang-Baxter maps and their noncommutative extensions

Dr Sotiris Konstantinou-Rizos, P.G. Demidov Yaroslavl State University

  • Thu 17 Jan 19

    14:00 - 16:00

  • Colchester Campus

    STEM 3.1

  • Event speaker

    Dr Sotiris Konstantinou-Rizos

  • Event type

    Lectures, talks and seminars

  • Event organiser

    Mathematical Sciences, Department of

  • Contact details

    Dr Andrew Harrison

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.