The lecture course is based on the statement by Fomin, Kirillov and Polishchuk that elliptic quantum R-matrix satisfies the quadratic relation called the associative Yang-Baxter equation. In the simplest scalar case it is reduced to the addition formula for theta function (Riemann identities). An introduction to the theory of elliptic functions and identities will be made. Next, we extend the identities to the non-commutative analogues, where the scalar functions are replaced by R-matrices. Applications to integrable systems will be given as well.

To connect via Zoom:
Zoom link
Zoom meeting ID: 973 8084 6137
password: 125860

Financial support. The course is supported by the Simons Foundation and the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, Agreement no. 075-15-2019-1614).

Lecturer
Zotov Andrei Vladimirovich

Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center