Speaker: Pavlos Kassotakis (University of Patras, Greece)

Title: On  pentagon and entwining tetrahedron maps

Date and time:  9.04.2025, 17:00 (GMT +03:00)

Abstract:  In this talk, we present equivalence classes of rational solutions of a specific type of the set theoretical version of the pentagon equation. That is, up to  Möbius transformations, we find quadrirational one-component maps of rational functions in two arguments that serve as solutions of the pentagon equation. Also, provided that a pentagon map admits at least one partial inverse, we obtain  entwining pentagon set theoretical solutions.  Furthermore, we show how to obtain Yang–Baxter and entwining tetrahedron maps from pentagon maps.

To access the online seminar please contact  Anna Tolbey bekvaanna@gmail.com