AbstractIn this talk, I will describe the construction known as 'Zesting of Braided Fusion Categories', a procedure that can be used to obtain new modular categories from a modular category with non-trivial invertible objects. I will also present our work on classifying and constructing all possible braided zesting data for modular categories associated with quantum groups at roots of unity. We...
AbstractA modular tensor category is a non-degenerate ribbon finite tensor category. We will constructribbon factorizable Hopfalgebras whose representation categories are modular tensor categories.Specifically, we give some general constructionmethods of ribbon factorizable Honf algebras. Thenwe use these methods to obtain a family of semisimple ribborfactorizable Hopf algebras and twofamilies ...