Topology and Group Theory Seminar: April 16, 2025
Speaker: Robbie Lyman (Rutgers)
Title: Graphical models for groups
Abstract: In geometric group theory, we love groups and graphs. Every (abstract) group has (many) Cayley graphs, each one associated with a choice of a generating set. Recently I’ve been curious about topological groups, inspired by the budding theory around and community of people inspired by mapping class groups of infinite-type surfaces and by Christian Rosendal’s breakthrough work on geometries for topological groups. I’m hoping to share out some of what I’ve learned about topological groups acting on graphs. Much of this comes from recent joint work with Beth Branman, George Domat and Hannah Hoganson.
Host: Talia Fernos