Program
Ricci curvature and discrete geometric analysis
Student No.:40
Time:Tue &Thu, 13:30-15:05
Instructor:Lin Yong  
Place:Conference Room 3, Jin Chun Yuan West Bldg.
Starting Date:2019-2-25
Ending Date:2019-5-17

Description:
We will introduce the Ricci curvature notions on graphs. Under the curvature assumption, we will prove the eigenvalue estimates, Harnack inequalities, Li-Yau gradient estimate and Heat kernel estimate. We will also show the equivalent properties of Ricci curvature assumption and gradient estimate for heat semigroup on graphs.


Prerequisite:
Functional analysis and basic PDE. It is good but not necessary to know the Riemannian geometry.


Reference:
Research papers from this subject. Most of them are the papers of speaker and his coauthors.