Classification of Gradient Shrinking Ricci Solitons

发布时间：2018-09-03 作者：浏览次数：

Speaker:	李小龙博士	DateTime:	2018年9月6日（周四）下午2:50-3:50
Brief Introduction to Speaker: 李小龙博士，University of California at Irvine。		Place:	6号楼二楼报告厅
Abstract: 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.