Anatol Kirillov: Different faces of the FK quadratic algebras: Algebra, Geometry, Combinatorics, Topology, Special Functions and Integrable Systems

I will introduce a certain class of quadratic algebras related with the classical Yang-Baxter equation, and describe some of their properties and connections with the mathematical subjects mentioned in the title. I will try to explain why these algebras can be treated as “The Grand Unification” of “classical”, “q” and “elliptic” theories.