# GMR

## Seminar

### Comparison theory in Lorentzian geometry

Seminar Room 1, Newton Institute

#### Abstract

An overview will be given of the development of comparison theory in differential geometry over the past 40 years. Aspects of cut points, Ricci curvature and geodesic lines, index theory methods and Riccati equation techniques, the Lorentzian splitting theorem and curvature rigidity, and volume comparison will be discussed.