Title：Yang-Baxter equation, Rota-Baxter operators and corresponding algebraic systems
Reporter：Valeriy Bardakov
Work Unit：Tomsk State University
Time：2023/06/28 14:30-15:30
Address：Seminar Room 5, 3rd Floor, Mathematics Building
Summary of the report: Yang-Baxter equation is a famous equation in mathematical physics, knot theory and braid theory. There are different generalization of this equation. In particular, tetrahedron equation and n-simplex equation. To describe solutions of these equations where introduced different algebraic systems: rack, quandle, skew brace and some other. The Yang-Baxter equation connects with Rota-Baxter operator on some algeras and groups. Im this talk we will speak on this things and connections between them.
Introduction of the Reporter: Valeriy Bardakov is from Tomsk State University. He is a professor of department of algebra and mathematical logic, Faculty of Mechanic-Mathematics, Tomsk State University. His research interests are group theory, knot theory, braid group, automorphism group, symmetric group, PDE, multidimensional inverse problem, evolution equations and integral geometry. He is an author of more than 100 publications.
Since 1995, he has been running the algebraic seminar, "Evariste Galois", at NSU. Since 2000, together with A. Yu. Vesnin, he has been teaching a special course "Algebraic Methods in Knot Theory" at Novosibirsk State University.
In 1993, he won the prize M. I. Kargapolov for young mathematicians for solving problems of the Kourovskaya Notebook.
