Analysis Seminar

Dmytro YeroshkinIdaho State University
Ricci Flow on Manifolds with Density

Monday, March 19, 2018 - 2:30pm
Malott 406

Abstract: A notion of Ricci curvature for manifolds with density was first introduced by Bakry and Emery in the 80s. After Perelman used them in connection with Ricci flow, Lott proposed a notion of Bakry-Emery Ricci flow. In this talk I will address some properties of this flow as well as why it is an appropriate definition. The focus of this talk will be the behavior of Bakry-Emery Ricci flow in the case of synthetic dimension 1. Parts of this talk are joint work with Will Wylie.