Geometry Seminar: S. Lynch (Imperial)
Geometry Seminar (Geometric Analysis)
Speaker: Stephen Lynch (Imperial)
Title: Singularities of fully nonlinear geometric flows
Speaker: Stephen Lynch (Imperial)
Title: Singularities of fully nonlinear geometric flows
Abstract: We will discuss the evolution of hypersurfaces by fully nonlinear parabolic geometric flows. Solutions to these flows typically form singularities in finite time. Understanding the kinds of singularities which can form is a necessary step towards many potential geometric applications. We will present a complete picture of the possible singularities which can form in low dimensions. The main results can be understood as Liouville-type rigidity theorems for certain concave/convex fully nonlinear parabolic PDE.