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