Event time:

Tuesday, October 4, 2022 - 4:15pm

Location:

LOM 214

Speaker:

Martin Bridgeman

Speaker affiliation:

Boston College

Event description:

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 M_geod the unique structure with totally geodesic convex core boundary.

This is joint work with Kenneth Bromberg, and Franco Vargas Pallete