Title: Mathematical Relativity and the Geometry of Initial Data Sets for the Einstein Equations II Speaker: Armando Cabrera (University of Connecticut)
Time: Friday, February 24, 2017 at 3:30 pm Place: MONT 111Abstract: The Einstein Equations, which describe the interaction between the matter and the geometry of the universe, can be interpreted as a complicated system of hyperbolic differential equations. One way to study its solutions is by considering an initial value problem, which naturally leads to the understanding of the geometry of special Riemannian manifolds with non-negative scalar curvature, called initial data sets. In this series of lectures, we will briefly describe some important concepts in mathematical relativity, and then we will focus on the geometry of initial data sets by going over some classical results and moving towards recent developments.