Quasi-flats in the Aut free factor complex

Abstract: We will describe families of quasi-flats in the "$\mathrm{Aut}(F_n)$ version" of the free factor complex. This shows that, unlike its more popular "Outer" cousin, the $\mathrm{Aut}$ free factor complex is not hyperbolic. The flats are reasonably simple to describe and are shown to be q.i. embedded via the construction of a coarse Lipschitz retraction. This leaves many open problems about the coarse geometry of this space, and I hope to talk about a few of them.

This is joint work with Mladen Bestvina and Martin Bridson.

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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