Colloquium 5.12.16 Pollicott

Speaker: Mark Pollicott (Warwick, UK)

Title: Zeta functions and geodesics

Abstract: The Riemann zeta function is an important tool in the theory of prime numbers.  A more geometric analogue of this is the Selberg Zeta function where the prime numbers are replaced by closed geodesics on a compact surface of constant negative curvature.  However to generalize this to more general settings one needs to take a more dynamical viewpoint. We will discuss old and new results in this direction.