Ricci solitons, introduced by R. Hamilton in the mid-1980s, are self-similar solutions to the Ricci flow and often appear as singularity models of the Ricci flow. Ricci solitons are also natural extensions of Einstein metrics and are critical points of certain functionals defined by Perelman and others. In this talk I shall survey some recent developments on gradient shrinking Ricci solitons, including their geometry, classifications, and stability.
This video is part of Harvard University‘s conference JDG 2017.
