國立清華大學 數學系

Abstract:
The Ricci flow, introduced by Richard Hamilton in the 1980's, is a powerful geometric evolution equation that deforms the metric of a Riemannian manifold in a way analogous to heat diffusion. It has proven instrumental in understanding the geometry and topology of manifolds. A rigorous analysis of its behavior at finite time singularities has been key to these applications.

In this talk, I will present joint work with Cifarelli-Deruelle and Hallgren-Ma on the behavior of the Ricci flow on a compact Kahler surface at a non-collapsed finite time singularity.