Logic Seminar

I will discuss recent joint work with C. Rosendal on the large-scale, or coarse, structure of the groups of self-homeomorphisms of manifolds. Classical geometric group theory is the study of the large-scale geometry of finitely generated discrete groups, or compactly generated topological groups. Rosendal recently developed a means of extending this to a more general class of Polish groups. I will explain some of this framework, which Polish groups are known to admit a well-defined coarse structure, and why groups of homeomorphisms are an important class of examples.