Anatol Kirillov: Combinatorics of some quadratic algebras and beyond.

Abstract:  The main purpose of my talk is to draw attention of the audience to some families of quadratic algebras which have many unexpected connections with Low dimensional Topology, Special Functions, Integrable Systems, Schubert and Grothendieck Calculi, Algebraic Combinatorics and so on and so far.  In my talk I'm planning to explain connections of algebras I have introduced in the beging of my talk, basically, with Combinatorics and Graph Theory.