Asymptotically CAT(0) metrics and applications

Abstract: We construct metrics that satisfy a CAT(0)-like inequality involving a sublinear error for a large class of groups including mapping class groups and a lot of their quotients, most 3-manifold groups, extra-large Artin groups, extension of Veech groups and multicurve stabilisers, and many others. These metrics in turn allow one to construct contractible Rips complexes with "nice" compactifications, and to use those to show that the groups in our large class satisfy the Farrell-Jones conjecture.

This is joint work-in progress with Matt Durham and Yair Minsky.

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.