Dynamics, Geometry and Moduli Spaces Seminar: The Weil-Petersson gradient flow of renormalized volume uniformizes relatively acylindrical manifolds

SEMINARS

Speaker:

Martin Bridgeman - Boston College

We consider the Weil-Petersson gradient vector field of renormalized volume on the deformation space of convex cocompact hyperbolic structures of a (relatively) acylindrical manifold. Using a toy model for the flow, we show that the flow has a global attracting fixed point at the structure Mgeod the unique structure with totally geodesic convex core boundary. This is joint work with Kenneth Bromberg and Franco Vargas Pallete.

See webpage for more details: https://people.math.harvard.edu/~ctm/sem/