Title: Quasi-isometric rigidity in group varieties

Azer Akhmedov  (UC Santa Barbara)

Tuesday, October 26 at 1:30pm in Malott 406

Abstract:

We show that the property of satisfying a law (i.e. belonging to group variety) is not preserved under quasi-isometry. The proof is heavily based on the study of the so-called traveling salesman property in groups which is new and interesting in itself. The same methods are useful in some other situations.