Speaker: Dmitry Talalaev (MSU, YarSU, ITEP)

Date and time:  1.11.2023, 17:00 (GMT +03:00)

Title: Multivalued quandles and corack n-bialgebras

Abstract: Multivalued groups arise in a fairly wide field of mathematical subjects: representation theory, discrete dynamical systems, algebraic geometry. The report  is focused on a similar construction in the category of quandles, structures that have significant applications in knot theory and discrete integrable systems.

After short introduction to the theory of n-valued groups I will define the concept of an n-quandle, give some examples, describe the coset construction in this case, talk about a natural analogue of a group algebra for a quandle, and construct an n-corack bialgebra associated with a multivalued quandle.

The report is based on joint results with V. Bardakov, V. Buchstaber and T. Kozlovskaya.

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