- Topology
- STDC
- 2024
- STDC2024-GGT
- Submissions
- Details
Geometric Group Theory
‟Random Bowditch Boundaries for Free Groups” by Aaron Messerla <amesse4@uic.edu>, University of Illinois at Chicago
‟Random Bowditch Boundaries for Free Groups” by Aaron Messerla <amesse4@uic.edu>, University of Illinois at Chicago
‟Random Bowditch Boundaries for Free Groups” by Aaron Messerla <amesse4@uic.edu>, University of Illinois at Chicago
‟Random Bowditch Boundaries for Free Groups” by Aaron Messerla <amesse4@uic.edu>, University of Illinois at Chicago
Abstract:
The topology of the Bowditch boundary of a relatively hyperbolic group pair gives information about relative splittings of the group. It is therefore interesting to ask if there is generic behavior of this boundary. In this talk I plan to describe previously known results about the Bowditch boundary of a free group with cyclic peripheral structure, and discuss why there is no generic case when the peripheral structure is produced randomly.