The landscape of Dehn functions

Abstract: The Dehn function of a finitely presented group \(G\) can be used to measure the complexity of its word problem. Specifically the Dehn function measures the minimal area required to fill loops in the Cayley graph of \(G\). There are various analogues of the Dehn function for wider classes of groups. These all correspond to fillings of different loops in the Cayley graph. I will carefully introduce the various analogues and discuss how the various Dehn functions can be used to prove interesting results. I will be particularly interested in the case of subgroups of hyperbolic groups.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

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.