Surface subgroups of cubulable hyperbolic groups

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• Henry Wilton, Cambridge
• Wednesday 23 January 2019, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

I’ll describe recent work which finds surface subgroups of certain graphs of free groups. When combined with the work of Agol, Wise and others, it follows that all cubulable hyperbolic groups have surface subgroups, unless they are free, answering a question of Gromov in the cubulable case. In particular, surface subgroups can be found in small-cancellation groups, and in hyperbolic mapping tori of free group automorphisms.

This talk is part of the Differential Geometry and Topology Seminar series.

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