We will review the classical Laplace and relative volume comparison theorems on Riemannian manifolds with Ricci curvature bounded from below. Then we will show that, after suitable conformal change, versions of these theorems persist on Kaehler Ricci flows without extra curvature assumptions. Applications to the convergence issue are also discussed. This is a joint work with G. Tian, Z.L. Zhang, M.Zhu and X.H.Zhu.

报告人简介：

国际知名的几何分析学家，现任美国加州大学河滨分校终身教授。1996年于美国普渡大学获得博士学位，先后任职于美国孟菲斯大学，美国密苏里大学，美国加州大学。目前主要研究方向是带有奇性的抛物型方程和抛物型系统、Navier-Stokes方程、热核的估计及Ricci流等。成果发表于CPAM，CMP，ARMA，Adv. Math.等顶尖国际数学期刊。