| Résume | Most Ricci flow theory takes the short-time existence of solutions as a starting point and ends up concerned with understanding the long-time limiting behaviour and the structure of any finite-time singularities that may develop along the way. In this talk I will look at what you can think of as singularities at time zero. I will describe some of the situations in which one would like to start a Ricci flow with a space that is rougher than a smooth Riemannian manifold,
and some of the situations in which one considers smooth initial data that is only achieved in a non-smooth way. I will assume basic knowledge of Riemannian geometry, but will not be assuming expertise in Ricci flow theory. |
