A hierarchically hyperbolic structure is some kind of coordinate system on a given metric spaces where the coordinates take values in hyperbolic spaces, and it gives a good understanding of the coarse geometry of the space. I will give a brief introduction to this notion and its consequences, discuss a simple criterion to show that a space or group is hierarchically hyperbolic, and illustrate an application of this criterion to the case of extra-large type Artin groups.
This video is part of the New York Group Theory Cooperative‘s group theory seminar series.
