VIRTUAL SEMINAR SERIES -- INTEGRABLE SYSTEMS: Extensions of Yang-Baxter maps via Grassmann algebras
Giota Adamopoulou (Heriot-Watt University)
Wednesday 12th May, 2021 13:30-14:30 Zoom seminar hosted by ICMS
I will discuss some recent work on integrable extensions of known Yang-Baxter maps via Grassmann algebras. First, I will describe how refactorisation problems associated to Darboux transformations of certain integrable PDEs lead to solutions of the set-theoretic Yang-Baxter equation (Yang-Baxter maps). Then, I will introduce certain extensions via Grassmann algebras of known maps of Yang-Baxter type. I will discuss some integrability properties (such as invariants, Lax representation) of these newly obtained maps and some open problems in relation to this joint work with S. Konstantinou-Rizos and G. Papamikos.
For more information, and how to access the seminar through Zoom, see the webpage of the events here.