Ricci limit spaces : an introduction to the tools of Cheeger-Jiang-Naber's work

Abstract: The goal of this expository talk is to explain parts of the work of J. Cheeger, W. Jiang and A. Naber: arxiv.org/abs/1805.07988 For a converging, non-collapsing sequence of Riemannian manifolds with a uniform Ricci lower bound, they proved that singular strata of the limit space are rectifiable. Some of the key tools in the proof include quantitative stratification, which was first introduced in previous work of Cheeger-Naber, and new related volume estimates, together with a precise study of neck regions. After a brief review of Cheeger-Colding theory, the talk will focus on explaining the notions of quantitative stratifications, neck regions and their role in the proof.

differential geometrymetric geometry

Audience: researchers in the topic

mms&convergence

Series comments: Join Zoom Meeting: cuaieed-unam.zoom.us/j/84506421108?pwd=cjM5Q3NZR2gyQnV3Sjdqci80RkVSUT09

Meeting ID: 845 0642 1108 Passcode: 182795