Title: Exotic fusion categories: EH3 exists!
Speaker: David Penneys (The Ohio State University)
Abstract: Fusion categories generalize the representation categories of (quantum) groups, and we think of them as objects which encode quantum symmetry. All currently known fusion categories fit into 4 families: those coming from groups, those coming from quantum groups, quadratic categories, and those related to the extended Haagerup (EH) subfactor. First, I'll explain what I mean by the preceding sentence. We'll then discuss the extended Haagerup subfactor, along with the newly constructed EH3 fusion category (in joint work with Grossman, Izumi, Morrison, Peters, and Snyder), and the possibility of the existence of EH4. This might take 2 weeks to explain, so perhaps this will be part 1 of 2.
Seminar URL: https://yutsumura.com/quantum-algebra-topology-seminar/
