Drilling and what it is good for

Abstract: A drilling of a group is a relatively hyperbolic group pair, which is a generalization of the fundamental group of a drilled manifold. We define this and show that drillings exist for residually finite hyperbolic groups with two-sphere boundaries. We also present some preliminary work which shows drilling can be used to understand the non-quasi convex surface subgroups of a residually finite hyperbolic group with two-sphere boundary.

The first part of this talk is joint work with D. Groves, P. Haïssinsky, J. Manning, D. Osajda, and A. Sisto. The second part is joint with D. Groves.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( paper )

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Geometry and topology online

Series comments: You can also find up-to-date information on the seminar homepage - warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/geomtop/

The talks start at 13:30. Talks are typically fifty minutes long, with ten minutes for questions.

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