MATH 7620 - Riemannian Geometry and Geometric Analysis

Xiaodong Cao, spring 2015.

This is a topic course of Riemannian geometry and geometric analysis. It will be a continuation of MATH 6620. Some of the possible topics that will be covered include: comparison theorems and gradient estimates, harmonic functions on manifolds with negative curvature, eigenvalue problems, heat kernel on Riemannian manifolds, conformal deformation of scalar curvatures, etc.