Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Dr. Bangxian Han, Bonn University
Inviter:
李向东
Title:
Differential calculus on metric measure space and applications
Time & Venue:
2018.1.5 15:30-16:30 N613
Abstract:
In this talk, we will introduce some new ideas and techniques in studying the curvature-dimension condition of metric measure space, so that we can study the curvature-dimension condition under time change and conformal transformation. In particular, we can characterize the convexity of functions in non-smooth setting, and we can link the existence of some special K-convex functions to the particular metric structure of the space, which is a new approach to deal with some rigidity theorems such as \splitting theorem" and \volume cone implies metric cone theorem".