Analysis Seminar: Heat Flow and the Geometry of Manifolds

Speaker: Jesus Sanchez, Washington University in Saint Louis

Abstract: The heat equation is a famous equation first studied in detail by Fourier and is the poster child for any parabolic PDE. By considering the heat equation on a manifold, the study of heat flow has found numerous applications to the study of geometric structures on smooth manifolds. In this talk we will give a short introduction to this topic with a view towards the Atiyah-Singer index theorems and some recent deveopments in this area.

 

Host: Walton Green