March 15, 2018

Geometry and General Relativity
Thursday March 15 at 4:30pm
Richard Schoen
Stanford and UC Irvine

Location: Kirwan Hall 3206

Abstract: This talk will be a survey of some of the geometric problems and ideas which either arose from general relativity or have direct bearing on the Einstein equations.
It is intended for a general mathematical audience with minimal physics background.
Topics will include an introduction to the Cauchy problem for the Einstein equations, problems related to gravitational mass which are closely related to the Riemannian geometry of positive scalar curvature, and trapped surfaces which are related to the mean curvature and minimal surfaces.

March 16, 2018 

The Positive Mass Theorem Revisited
Friday, March 16 at 3:15pm
Richard Schoen
Stanford and UC Irvine

Location: Kirwan Hall 3206

Abstract: We will introduce the positive mass theorem which is a problem originating in general relativity, and which turns out to be connected to important mathematical questions including the study of metrics of constant scalar curvature and the stability of minimal hypersurface singularities. We will then give a general description of our recent work with S. T. Yau on resolving the theorem on high dimensional non-spin manifolds.