10.30 am, Seminar Hall
On the volumes of geodesics on surfaces
Consider a closed geodesic on a hyperbolic surface. It can be embedded into the unit tangent bundle to that surface (by choosing a tangent direction). In the talk I'll discuss the properties of such a geodesic as a knot in the unit tangent bundle. In particular, a closed geodesic is generally a hyperbolic knot, and I'll describe a way to bound the volume of its complement.