Thursday, March 30
Time: 4:00 p.m.
Location: 114 McAllister Building
Name: Mark Pollicott
Affiliation: University of Warwick
Title: Dynamical Zeta functions
Abstract: In the 1970s, David Ruelle defined a complex function, called a dynamical zeta function, for a certain class of flows (called hyperbolic flows). This defintion was partly motivated by the definition of the well known Riemann zeta function for prime numbers. Such flows include the particular case of geodesic flows on negatively curved surfaces, where the dynamical zeta function (essentially) reduces to the famous Selberg zeta function.
In this talk I will describe what is now known about the domain of the dynamical zeta function, how this knowledge helps to understand properties of the underlying flow, and how the techniques developed for this purpose can be used study other problems.