Urban Jezernik: Additive diameters of group representations

The additive diameter of a set S with a subset X is the smallest number of X-summands needed to reach every element of S. The study of these diameters appears in many diverse settings. After giving a brief survey, we will explore nonabelian versions of this, where richer growth and expansion phenomena emerge. The main focus will be presenting a version of these phenomena for group representations, and showing how this viewpoint unifies some of the other diameter problems. Joint work with Špela Špenko.