Student Geometry/Topology Seminar

I'll sketch a proof that, on a manifold of negative curvature, the number of closed geodesics of length at most L grows exponentially in L. The proof relies on dynamical properties of the geodesic flow, and in some respects mimics the proof of the prime number theorem. This talk should be accessible to anyone familiar with either basic differential geometry, dynamics or number theory. Speaker(s): Salman Siddiqi (UM)