Videos

Cubical dimension of groups

September 10, 2020
Abstract
The cubical dimension of a group G is the infimum n such that G admits a proper action on an n-dimensional CAT(0) cube complex. I will discuss some examples of groups with a gap between its cubical dimension and its cohomological or CAT(0) dimension. This will include a construction of small cancellation groups with arbitrarily large cubical dimension.