UAlberta-PIMS Mathematics and Statistics Colloquium: Tullia Dymarz

Finitely generated groups can be treated as geometric objects by considering their Cayley graphs with respect to finite generating sets. All such graphs are quasi-isometrically equivalent. In the 80s, Gromov proposed studying finitely generated groups up to quasi-isometric equivalence and showed that any group quasi-isometric to a nilpotent group is itself (virtually) nilpotent. This led to an explosion of work with connections to many areas of mathematics. In this talk I will give an introduction to this area and an overview of some of the results.