14:00 - 16:00
STEM Centre 3.1
Dr George Papamikos
Lectures, talks and seminars
Mathematical Sciences Departmental Seminars
Mathematical Sciences, Department of
Andrew Harrison firstname.lastname@example.org
Mathematical Sciences Departmental Seminar
These Departmental Seminars are for everyone interested in Maths. We encourage anyone interested in the subject in general, or in the particular subject of the seminar, to come along. It's a great opportunity to meet people in the Maths Department and join in with our community.
Refreshments are shared in the Department (STEM 5.1) after every seminar.
We study some solutions of the set-theoretic parametric Yang-Baxter equation. These solutions are bi-rational maps with several invariants and a Lax representation . We show that we can use these maps as building blocks in order to construct higher dimensional bi-rational maps which have nice properties and we prove their integrability in the Liouville sense. These maps can be seen as higher dimensional generalisations of the famous integrable QRT maps , known as Adler's Triad maps . Finally, we discuss some new generalisations .
 A. P. Veselov, Yang-Baxter maps and integrable dynamics, Physics Letters A 314 (2003), 214 - 221.
 G. R. W. Quispel, J. A. G. Roberts, C. J. Thompson, Integrable mappings and soliton equaions II, Physica D: Nonlinear Phenomena 34 (1989), 183-192.
 S. Konstantinou-Rizos, G.Papamikos, Entwining Yang-Baxter maps related to NLS type equations, arXiv:1907.00019
 V. E. Adler, On a class of third order mappings with two rational invariants, preprint, arXiv:nlin/0606056v1.
Dr George Papamikos is a Research Fellow in the School of Mathematics, University of Leeds.