报告人：报告人： Xiaolong Li (University of California, Irvine 加州大学欧文分校)
报告地点： 苏州大学本部维格堂 319
报告时间： 2018年9月7日 14:00——15:00

报告摘要:  Three-dimensional manifolds are well-understood via Ricci flow by
the work of Hamilton and Perelman. Classification of three-dimensional
Shrinking Ricci solitons played an significant role in the work of
Perelman. In this talk, I will give an introduction to shrinking Ricci
solitons and survey many classification results obtained in recent
years, in particular in two, three, and four dimensions.
I will present several results if time permits: a complete classification of
three-dimensional gradient shrinking Ricci solitons due to Ni and
Wallach, a complete classification of four-dimensional shrinking Ricci
solitons with nonnegative isotropic curvature due to Ni, Wang and
myself, a partial classification of four-dimensional shrinking Ricci
solitons with half positive isotropic curvature.