國立清華大學 數學系

Abstract:
Ricci flow was introduced by Hamilton in 1982 to study the topology of 3-manifolds. It can be viewed as a heat flow of the Riemannian metric which evolves in the direction of its Ricci curvature. Ricci soliton is a self similar solution to the Ricci flow and often models the singularity of the flow. In this talk, we will discuss some basic concepts on the Ricci flow and Ricci soliton. Some of the results are based on my joint works with Zilu Ma and Yongjia Zhang, also with Luke Peachey and Man-Chun Lee.