As much as I would have liked to post something everyday of the conference, writing math blog posts still take me some time. The conference was terrific and as its usual whenever people were not at talks they were by some blackboard or some table finishing or starting a paper. 1,109 more words

## Tags » Gradient Flow

#### 285G, Lecture 8: Ricci flow as a gradient flow, log-Sobolev inequalities, and Perelman entropy

It is well known that the heat equation

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on a compact Riemannian manifold (M,g) (with metric g static, i.e. independent of time), where is a scalar field, can be interpreted as the… 4,259 more words