Drilling Hyperbolic Groups

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• Daniel Groves, University of Illinois at Chicago
• Friday 29 September 2023, 13:45-14:45
• MR13.

If you have a question about this talk, please contact Macarena Arenas.

The notion of “filling” of groups has been very fruitful over recent years. Motivated by questions around the Cannon Conjecture, I will explain how to take a (residually finite) hyperbolic group with a two-sphere boundary and “drill” it to produce a relatively hyperbolic group with two-sphere boundary. This allows us to relate the Cannon Conjecture to the relatively hyperbolic version.

This is joint work with Peter Haïssinsky, Jason Manning, Damian Osajda, Alessandro Sisto, and Genevieve Walsh.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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