Seminar

I will explain several new results about fusion rings and all flavors of fusion category using number theory so elementary that proper number theorists have audibly laughed when I called it that.  Most of these results are theorems about weakly integral fusion, braided, or modular tensor categories C, restated so that FPdim(C) can live freely in your favorite totally real algebraic number field.  Highlights include a dimensional grading for all fusion rings, bounds on the order of multiplicative central charge based on FPdim(C), and proof that all of the dimensions appearing in the fusion categories coming from quantum groups are kind of boring.  Please encourage attendance by graduate students as I will discuss many approachable open problems. (joint work with Terry Gannon)