Seminar (online): V. Bardakov "n-simplex equation and corresponding algebraic systems"

Submitted by A.Tolbey on Fri, 10/08/2021 - 10:09

Speaker:  Valeriy Bardakov (Sobolev Institute of Mathematics, Novosibirsk, Russia)

Date and time:  13.10.2021, 17:00 (GMT +03:00)

Title: n-simplex equation and corresponding algebraic systems


n-simplex equation (shortly n-SE) is a generalization of the Yang-Baxter equation, which is 2-simplex equation. In this talk I give a way to write n-simplex equation for arbitrary n, give its geometric interpretation, introduce operation tropicalization which give a possibility to construct piecewise linear solutions of n-SE from some rational solutions. Further, I discuss a construction of solution of n-SE on group extensions, introduce verbal solutions and formulate a theorem of existence of elementary solutions of 4-SE on arbitrary group. At the end, I introduce some algebraic systems with ternary algebraic operations related with 3-simplex equation.

This is joint work with B. Chuzinov, I. Emel'yanenko, M. Ivanov, T. Kozlovskaya, and V. Leshkov.

To access the online seminar please contact  Anna Tolbey

Event date
Wed, 10/13/2021 - 17:00