Hannah Hoganson, University of Maryland
Authors: George Domat, Sanghoon Kwak
2023 AWM Research Symposium
Women in Groups, Geometry, and Dynamics [Organized by Hannah Hoganson and Rylee Lyman]

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.

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