Topology Seminar (Main Talk): Boundaries of groups

Seminar | January 17 | 4-5 p.m. | 3 Evans Hall

 Ruth Charney, Brandeis University

 Department of Mathematics

Boundaries of hyperbolic metric spaces have played an important role in the study of hyperbolic groups. We will discuss an analogous boundary for arbitrary finitely generated groups, called the Morse boundary, and present a recent theorem showing that in many cases, the Morse boundary determines the group up to quasi-isometry. (Joint work with M. Cordes and D. Murray)