Breadcrumb
Ricci Flow on non-compact surfaces
Mon 07 January 2013, 14:45
Peter Topping
University of Warwick
Organiser: Michiel van den Berg
ABSTRACT
Ricci flow is a natural way of deforming a Riemannian manifold under an essentially parabolic PDE. It was introduced by Hamilton in 1982, and has been extremely successful in applications to geometry and topology. We will take a look at the case of Ricci flow on surfaces which is the easiest situation in which to understand the equation, and yields the most general results. We will take a look at the beautiful results of Hamilton and Chow for compact surfaces from the 1980s, but focus mainly on the larger body of work in the noncompact case, which has been largely developed over the past few years. Mainly joint work with Gregor Giesen.