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Drilling hyperbolic groups

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OGGW02 - Actions on graphs and metric spaces

I will discuss a group-theoretic procedure that simulates the effect at the level of the fundamental group of removing a closed geodesic from a hyperbolic 3-manifold, and can be thought of as the inverse procedure of peripheral filling for relatively hyperbolic groups. The main application will be establishing a connection between two versions of Cannon’s Conjecture, and I will try to argue that one of them should be less hard than the other one. Joint work with D. Groves, P. Haissinsky, J. Manning, D. Osajda, and G. Walsh.

This talk is part of the Isaac Newton Institute Seminar Series series.

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