Recently, Algom-Kfir and Bestvina introduced mapping class groups of locally finite graphs as a proposed analog of the outer automorphism group of a free group in the infinite-type setting. In this talk, we will introduce infinite-type graphs, their mapping class groups, and why we consider these to be the "big" analog of Out(F_n). Using a framework established by Rosendal, we will then discuss the coarse geometry and some algebraic properties of the pure mapping class groups.
Mapping Class Groups of Infinite Graphs
Hannah Hoganson, University of MarylandAuthors: George Domat, Sanghoon Kwak
2023 AWM Research Symposium
Women in Groups, Geometry, and Dynamics [Organized by Hannah Hoganson and Rylee Lyman]