Coarse embeddings and homological filling functions

Abstract:

The homological filling function of a finitely presented group \(G\) measures the difficulty of filling loops with surfaces in a classifying space. The behaviour of this function when passing to finitely presented subgroups is rather wild. If one adds assumptions on the dimension of \(G\), then one can bound the homological filling function of the subgroup by that of \(G\). I will discuss how to generalise these results from subgroups to coarse embeddings and also to higher dimensional filling functions.

This is joint work with Mark Pengitore.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( paper | slides )

Comments: We start five minutes after the hour.

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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 five minutes after the hour. Talks are typically 55 minutes long, including time for questions.

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