Complete classification of the Dehn functions of Bestvina—Brady groups

Abstract: Introduced by Bestvina and Brady in 1997, Bestvina–Brady groups form a rich class of examples in geometric group theory, notable for their exotic finiteness properties. We will focus on their Dehn functions: a fundamental quasi-isometry invariant that provides a quantitative measure of the group's finite presentability. After recalling previous results, We give a classification of the Dehn functions of Bestvina—Brady groups.

This talk is based on joint work with Yu-Chan Chang and Matteo Migliorini.

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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