Graph Analogues of Big Mapping Class Groups: Coarse Geometry by George Domat

Geometry Topology Seminar
Monday, November 14, 2022 - 2:00pm for 1 hour (actually 50 minutes)
George Domat – Rice University
Roberta Shapiro

We will introduce an analogue of big mapping class groups as defined by Algom-Kfir and Bestvina which hopes to answer the question: What is “Big Out(Fn)”? This group will consist of proper homotopy classes of proper homotopy equivalences of locally finite, infinite graphs. We will then discuss some classification theorems related to the coarse geometry of these groups. This is joint work with Hannah Hoganson and Sanghoon Kwak.