Speaker
Dr
Davide Spriano
(Christ Church College, Oxford University)
Description
CAT(0) cube complexes are a central object in geometric group theory, and constitute a large class of objects with a rich structure. Roughly, a CAT(0) cube complex is the metric space obtained by gluing Euclidean cubes in a "non-positively-curved" way. The minicourse has three goals. The first is to provide an overview of why and how cube complexes are used in geometric group theory. The second is to explain the definitions and prove some basic results about them. The last is to describe Sageev's construction - a procedure that allows to "extract" a cube complex from a simple data - and some recent generalisations of it.
Primary author
Dr
Davide Spriano
(Christ Church College, Oxford University)
