Topology and Geometric Group Theory Seminar

George DomatRice University
Mapping Class Groups of Infinite Graphs and Coarse Geometry

Thursday, February 2, 2023 - 2:45pm
Malott 206

We will introduce an analogue of big mapping class groups as defined by Algom-Kfir and Bestvina that 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.