Math 712 — Spring 2001 Seminar in Analysis

In this course I will discuss several non-linear differential equations that arise in Riemannian geometry.

Topics could include eigenvalue estimates for the Laplacian with respect to Dirichlet, Neumann or Steklov boundary conditions, the equations that appear in conformal deformation of metrics, and or evolution equations such as Hamilton's Ricci flow and the mean curvature flow.