Laurent Saloff-Coste - Breaking Heat Kernel Estimates Into Pieces

This course teaches learners how to estimate the heat kernel on a Riemannian manifold by breaking the manifold into manageable pieces and studying Brownian motion within each piece. The goal is to understand how the process moves between these pieces. The course focuses on the results achieved through this approach. The intended audience for this course is individuals interested in mathematical analysis and Riemannian manifolds.