researchseminars.org

Richard Wade (University of Oxford)
2024-01-11 14:05 - 15:00 UTC | https://researchseminars.org/talk/GaTO/94/
Title: Quasi-flats in the Aut free factor complex (https://researchseminars.org/talk/GaTO/94/)
by Richard Wade (University of Oxford) as part of Geometry and topology online

Lecture held in Room B3.02 in the Zeeman Building, University of Warwick.

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.
