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 bounded linear operator A is said to be quadratic if there is a polynomial p of degree 2 suchthat p(A)=0. Square zero operators, involutions, and idempotents are all typical quadraticoperators. We will give characterizations of matrices could be expressed as commutators of twosquare zero matrices, and explain some related results about limits of commutators of two squarezero operators...