Ricci Curvature Meets Sub-Riemannian Geometry
发布时间:2022年12月06日
浏览次数:3105
发布者: Wenqiong Li
主讲人: Jiayin Pan (University of California, Santa Cruz)
活动时间: 从 2022-12-14 09:00 到 10:00
场地: 线上
Abstract: I had a short conversation with Richard Montgomery. It led to a surprising connection between Ricci curvature and sub-Riemannian geometry: Pan-Wei's example of Ricci limit space is isometric to half of the Grushin plane, a classical example in sub-Riemannian geometry. Inspired by this connection, we construct the Grushin hemisphere as a Ricci limit space with curvature >=1.
Speaker: Jiayin Pan is currently an Assistant Professor at UC Santa Cruz. He obtained his Ph.D. at Rutgers University in 2018 under the supervision of Prof. Xiaochun Rong. His research focuses on Riemannian geometry; more precisely, the interplay between Ricci curvature and topology, and Gromov-Hausdorff convergence.
ID: 816 5199 9786
Passcode: 092396