# General Relativity, Geometry and Analysis: beyond the first 100 years after Einstein

#### 02 September - 13 December 2019

The year 2015 marked the centenary of the publication by Albert Einstein of the field equations of general relativity, as well as the resulting explanation of the precession of the perihelion of Mercury. The new theory was based on differential geometric machinery developed during the nineteenth century and has played a role in the development of both mathematics and physics during the twentieth century and into the twentyfirst which can hardly be overstated. Research on the Einstein equation and general relativity proceeds at an accelerated pace both in mathematics and physics, driven to a large extent by its role in cosmology and astrophysics, and the fact that it interacts closely with many fields of mathematics, including differential geometry, PDE theory and harmonic analysis.

The objective of this programme is to stimulate mathematical research on the global structure of solutions to the Einstein equation and related geometric partial differential equations and, consequently, to foster interactions between researchers within these fields of main interest in mathematics.

**Gravitational waves as emitted during black hole merger.** Copyright: Numerical Simulation: S. Ossokine, A. Buonanno

(Max Planck Institute for Gravitational Physics), Simulating eXtreme Spacetimes project Scientific Visualization:

D. Steinhauser (Airborne Hydro Mapping GmbH).