Geometry of gradient shrinking Ricci solitons


Huai-Dong Cao

10:10:00 - 11:00:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

The concept of Ricci solitons was introduced by Richard Hamilton in mid 1980's to study singularity formations in the Ricci flow. Shrinking Ricci solitons are self-similar solutions to Hamilton's Ricci flow and often arise as Type-I singularity models. In this talk, I shall describe some recent progress on the geometry and classifications of complete gradient shrinking Ricci solitons, especially my joint work with Q. Chen on Bach-flat shrinking Ricci solitons.