### 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.