Speaker
Raschid Abedin
Description
Lie bialgebra structures are fundamental to the theory of quantum groups proposed by Drinfeld in the late eighties. One of the most important examples is the standard bialgebra structure on a symmetrizable Kac-Moody algebra. In the affine case, this structure induces a Lie bialgebra structure on the underlying loop algebra. In this talk, I will relate all twistings of this Lie bialgebra structure to torsion-free sheaves on nodal irreducible cubic curves and to trigonometric solutions of the classical Yang-Baxter equation. This connections result in a classification of these objects.
