Ricci flow beyond closed manifolds - part 1

Ricci flow theory has a remarkable track record of settling big problems in other areas, and has developed into a beautiful body of work in its own right. However, most applications and much of the theory applies only when the underlying manifold is closed, or in highly restricted noncompact settings.
In these lectures I will describe some of the major developments that have occurred over the past few years geared at extending the theory to cases where the underlying manifold can be noncompact, and the flow and initial metric can be of unbounded curvature. One focus of this will be aspects of my joint work with Miles Simon. His talk will contain other aspects.