Homogeneous Ricci flows

Abstract: 

In this talk I will introduce the Ricci flow evolution equation for Riemannian metrics on a smooth manifold, without assuming any previous knowledge on differential geometry. Then I will discuss recent progress on the structure and long-time behavior of the flow on manifolds which are homogeneous, explaining in particular why solutions which are defined for all positive times asymptotically approach equilibrium points of the equation, so called Ricci solitons. This is based on joint work with Christoph Böhm (Münster).