Seminar | Institute of Mathematical Sciences
Time：4:00pm-5:00pm, Oct 11, Thursday
Location：Room 302, Library
Speaker: Peng Wu, Shanghai Center for Mathematical Sciences
Abstract: Gradient Ricci solitons are natural generalizations of Einstein manifolds, and they play important roles in the study of the Ricci flow. I will talk about the classification of gradient shrinking Ricci solitons with half harmonic Weyl curvature. The basic idea of the proof, motivated by those in the study of Einstein four-manifolds, is to construct a weighted subharmonic function using the Weitzenbock formula for the half Weyl curvature. This is joint work with Jia-Yong Wu and William Wylie.