Leandro Vendramin (Buenos Aires),

The combinatorics of the Yang-Baxter equation.

Abstract:

The Yang-Baxter equation is an important tool in theoretical physics and pure mathematics, with many applications in different domains going from string theory to topology. The importance of this equation led Drinfeld to propose the following problem: studying set-theoretical solutions. In this talk we will review the basic theory of this family of solutions, we will discuss some problems and we will give some applications.