Edmund Heng (University of Sydney) will be speaking in the algebra seminar. We will go out for lunch after the talk---all are welcome to join! When: 12-1pm Friday May 2 Where: Carslaw 175 Title: Fusion categories and Coxeter theory Abstract: There is a numerical coincidence between fusion categories (or fusion rings) and Coxeter theory â the numbers 2cos(pi/m) show up in both of them. In this talk, Iâd like to convince you that this is more than just a naive observation, and can be used as a catalyst to generalise well-known relations between different mathematical objects (quivers, Lie algebras, cluster algebras etc.). More specifically, I will speak on applications of fusion categories to problems surrounding the K(pi,1) conjecture, which involve hyperplane complements associated to Coxeter groups and their universal covers.