Tali Pinsky

Consider a closed geodesic $\gamma$ on a hyperbolic surface, embedded in the unit tangent bundle. If $\gamma$ is filling its complement is a hyperbolic three manifold, and thus has a well defined volume. I will discuss how to use Ghys' template for the geodesic flow on the modular surface to obtain an upper bound for this volume in terms of the length of $\gamma$. This is joint work with Maxime Bergeron and Lior Silberman.