Annette Karrer (McGill University)

Math & Stats Department Colloquium

Friday, December 2nd, 2022

Time: 2:30 p.m.  Place: Jeffery Hall, Room 234

Speaker: Annette Karrer (McGill University)

Title: From Stalling’s Theorem to Morse boundaries

Abstract: Every finitely generated group G has an associated topological space, called a Morse boundary. It was introduced by a combination of Cordes and Charney{Sultan and captures the hyperbolic-like behavior of G at innity. In this talk, I will motivate the research on Morse boundaries in several steps. First, I will explain Stalling's theorem { a fundamental theorem in geometric group theory. Afterward, I will explain an analogous statement for so-called Gromov boundaries of Gromov-hyperbolic groups. As Morse boundaries generalize Gromov boundaries, this raises the question as to whether one can generalize this statement to Morse boundaries. Finally, we will see the relationship between a result on Morse boundaries of graphs of groups and this problem. Results presented are joint with Elia Fioravanti.

Dr. Karrer is a postdoc at McGill University, working in geometric group theory. After earning her PhD from Karlsruher Institute fur Tehcnoloqie under the advisement of Petra Schwer and Tobias Hartnick, and before her current position, Dr. Karrer worked as a postdoctoral fellow at the Technion in Israel.