AbstractGiven a braided algebra in a braided fusion 2-category, under certain rigidity condition, itsmodules form a monoidal 2-category. Refining the notion of module to local module, we prove thatlocal modules over a separable braided algebra form a braided multifusion 2-category. Meanwhilelocal modules and free modules centralise each other (generalising the 1-categorical setting), andsatisfy...
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...
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