Seminar 04.22.21 Cantrell

Title: Rough similarity, rigidity and the Manhattan Curve for metrics on
hyperbolic groups

Speaker: Steve Cantrell РThe University  of Chicago

Abstract: Consider a hyperbolic group equipped with two hyperbolic metrics
that are left invariant and are quasi-isometric to a word metric. A
natural question to ask is: when are these metrics roughly similar, i.e.
when are they within bounded distance after scaling by a positive
constant? In this talk we’ll discuss rigidity statements that characterize
rough similarity in terms of the properties of the so-called Manhattan
Curve. We’ll see how to study this curve using a blend of ideas coming
from ergodic theory and geometric group theory. This is based on joint
work with Ryokichi Tanaka.

Zoom link:

Meeting ID: 980 3359 0349

Password: Mixing

Recorded Talk: