Department of Mathematics

Given any algebraic object, it is important to study the representations of that object. This is particularly true for the tensor categories constructed from quantum groups. In this setting the representations classify certain conformal field theories, and give rise to highly non-trivial subfactors of many Von Neumann algebras. In this talk I will present some progress in the classification of these representations. Our results show the existence of several infinite families, along with a handful of sporadic examples.