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  1. Topology and Dynamics
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  5. 2024

Geometric Group Theory

‟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.