Associators and representations of braids
Seminar Room 1, Newton Institute
>From their very construction 20 years ago as elements of a torsor for the Grothendieck-Teichmueller group, Drinfeld associators provide representations of the (usual) braid groups. The study of representation-theoretic consequences of this construction reverberate into questions on associators, and provide conjectural views on what to expect from generalizations of associators to other types of braid groups, where the symmetric group is replaced by more general reflection groups. This talk will review some of these questions as well as the state of the art in this area.