Differential Geometry Seminar Series : Jiang -- Introduction to Cheeger-Colding theory about Ricci curvature and recent progress

Venue: Carslaw AGR (829) 

Time: 11:30AM--12:30PM 

Lecturer: Wenshuai Jiang (USyd) 

Title: Introduction to Cheeger-Colding theory about Ricci curvature and recent progress 

Abstract: in these serial seminars, we will focus on manifolds with lower Ricci
curvature bounds.  By studying the structure of Gromov-Hausdorff limit of a sequence of
manifolds with lower Ricci curvature, Cheeger-Colding obtained several important and
fundamental results about Ricci curvature.  It turns out that such theory has
significant applications to the existence of Kaehler-Einstein metrics, Ricci flow,
geometric groups and other related topics.  

The aim of theses seminars is systematically introducing Cheeger-Colding theory and
discussing its related applications.  At the end we will discuss recent progress by
Cheeger-Naber and a joint work with Cheeger-Naber.  

This is the fourth lecture for the series.