Cannon-Thurston maps for the Morse boundary

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• Matt Cordes, Heriot-Watt
• Friday 31 January 2025, 13:45-14:45
• MR13.

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

Fundamental to the study of hyperbolic groups is their Gromov boundaries. The classical Cannon—Thurston map for a closed fibered hyperbolic 3-manifolds relates two such boundaries: it gives a continuous surjection from the boundary of the surface group (a circle) to the boundary of the 3-manifold group (a 2-sphere). Mj (Mitra) generalized this to all hyperbolic groups with hyperbolic normal subgroups. A generalization of the Gromov boundary to all finitely generated groups is called the Morse boundary. It collects all the “hyperbolic-like” rays in a group. In this talk we will discuss Cannon—Thurston maps for Morse boundaries. This is joint work with Ruth Charney, Antoine Goldsborough, Alessando Sisto and Stefanie Zbinden.

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

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