Geometry Seminar: M. Hallgren (Cornell U)

Geometry Seminar (Geometric Analysis)

Speaker: Maximilien Hallgren (Cornell University)

Title: Ricci Flow with a Lower Bound on Ricci Curvature

Abstract: In this talk, we will investigate the possible singularity behavior of closed solutions of Ricci flow whose Ricci curvature is uniformly bounded below, and whose volume does not go to zero. In four dimensions, we will see that only orbifold singularities can arise, and we obtain integral curvature estimates on time slices. We will also see a rough picture of singularity formation in higher dimensions.