An explicit bound on the Dehn function of a subgroup of a hyperbolic group

Abstract: Hyperbolic groups are characterised by having a linear Dehn function. This property does not pass to finitely presented subgroups, by work of Brady. This opens the question of what Dehn functions of finitely presented subgroups of hyperbolic groups can be. In this talk I will detail what is known and give an explicit upper bound for the Dehn function of Brady’s example.

This is joint work with Claudio Llosa Isenrich and Ignat Soroko.

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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