Geometry of Ricci solitons

Meeting Details

For more information about this meeting, contact Nigel Higson, Stephanie Geyer.

Speaker: Huai-Dong Cao, Lehigh University

Abstract: Self-similar solutions play an important role in the study of geometric flows, as they often arise as singularity models. For Hamilton's Ricci flow, self-similar solutions are called Ricci solitons. They are natural generalizations of Einstein metrics. They can be viewed as fixed points of the Ricci flow as a dynamical system on the space of Riemannian metrics modulo diffeoeomorphisms and scalings. They are also critical points of the geometric functionals found by Perelman and others. In this talk, we shall first describe briefly self-similar solutions of the curve-shortening flow and the mean curvature flow, and then discuss some recent developments on the geometry of Ricci solitons.

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Room Reservation Information

Room Number: 114 McAllister

Date: 10/03/2013

Time: 3:35pm - 4:25pm