Groups with Bounded Geometry

Explore the concept of groups with bounded geometry in this 54-minute Association for Symbolic Logic Invited Address given by Christian Rosendal from the University of Illinois at Chicago at the Joint Mathematics Meetings. Delve into geometric groups, their properties, and examples, while examining the interplay between topology and group theory. Investigate uniform spaces, coarse spaces, and uniform structures, and their relevance to the study of groups with bounded geometry. Learn about topological structures, groups of homeomorphisms, and the significance of cocompactness in this context. Discover the local compactification process and its implications for group structure. Gain insights into Cormov's Theorem and its applications to Polish groups, enhancing your understanding of this advanced mathematical topic.