SPEAKER: Alexander Polishchuk
TITLE: Associative Yang-Baxter equation
ABSTRACT The quantum and classical Yang-Baxter equations play a prominent role in algebra related to quantum groups, Poisson-Lie groups, etc. The associative version that I'll be discussing in the talk seems to lie in between the quantum and classical equations: the form of the equation is similar to the classical one, but one can often show that the associative equation implies the quantum one. My main result is the associative analogue of Belavin-Drinfeld classification of nondegenerate solutions of the classical Yang-Baxter equation.