Title: On the Weil-Petersson gradient flow of renormalized volume
Abstract: Renormalized volume is a finite geometric quantity modeled on the infinite volume of convex co-compact hyperbolic 3-manifolds, after a process of renormalization. In this talk we will show that, for relatively acylindrical manifolds, the flow given by the Weil-Petersson gradient vector field of renormalized volume is globally attracting to its unique critical point. This is joint work with Martin Bridgeman and Ken Bromberg.