Course MAT526

Topics in Geometric Analysis and Relativity: Introduction to general relativity

This is a fast moving introductory course in General Relativity with the goal of presenting some recent important results in the field.  The following will be covered:  quick introduction to general relativity, break-down criterion, a discussion of bounded L2 curvature conjecture, formation of trapped surfaces, and uniqueness of black holes.

Placement and Prerequisites

Prerequisites:  Differential geometry, analysis and some exposure to PDE’s.