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

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.

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

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