Obstructions to cubulation

Abstract: One can get a lot of information about a group by getting it to act geometrically on a \(\mathrm{CAT}(0)\) cube complex. When this is possible there is a standard framework for trying to find the action, known as Sageev's construction. On the other hand, whilst most groups will not admit such actions, there is a real lack of ways to actually rule out the possibility that they exist. In this talk we give a geometric obstruction to the possibility of cubulating groups.

This is joint work with Zach Munro.

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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