## Dynamics, Geometry, & Groups - Ian Frankel (Queen's University)

### Thursday, September 17th, 2020

**Time:** 2:00 p.m** Place:**

**Speaker:** Ian Frankel (Queen's University)

**Title:** Extremal length and Conformal Geometry.

**Abstract:** One of the key ideas in the study of moduli spaces of Riemann surfaces is the study of conformal invariants. We will describe one classical invariant, the extremal lengths of simple closed curves on a Riemann surface, and give applications connecting hyperbolic geometry to singular flat metrics on surfaces.