EVENT DETAILS AND ABSTRACT

Title: Analysis and geometry on manifolds with integral Ricci curvature lower bounds
Speaker: Guofang Wei
Speaker Info: UCSB
Brief Description:
Special Note:
Abstract:

Recently Tian and Zhang showed that L⁴ norm of Ricci curvature is uniformly bounded under Kähler-Ricci flow. We will give a survey on some tools about analysis and geometry on manifolds with integral Ricci curvature bounds: Laplacian comparison, volume comparison, Sobolev inequality, Poincare inequality, maximal principle, gradient estimate.