It is yearlong student scientific seminar devoted to methods of integrable systems and their applications. The seminar program implies study of basic concepts and constructions as well as modern and recent results including

1. Integrable systems of classical mechanics (Lax representation, r-matrix structures, separation of variables, the group-theoretical approach);
2. Quantum exactly-solvable models of statistical physics (quantum spin chains, quantum algebras, Bethe ansatz);
3. Soliton equations and integrable hierarchies (inverse scattering method, tau functions, Hirota equations);
4. Algebrogeometric description of integrable systems and isomonodromy deformations (moduli spaces of curves and bundles, spectral curves, Painleve equations);
5. Dualities in integrable systems, their relations to conformal and gauge theories.

Please, address Andrei Zotov, zotov@mi-ras.ru, for Zoom data.

Financial support. The seminar is supported by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, Agreement no. 075-15-2022-265).

Seminar organizers
Pogrebkov Andrei Konstantinovich
Slavnov Nikita Andreevich
Zotov Andrei Vladimirovich

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