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

September 2 - December 13, 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.



  1. The structure of the singular ring in Kerr-like metrics - Piotr T. Chruściel Maciej Maliborski Nicolás Yunes
  2. Localizing Energy in Fierz-Lanczos theory - Jacek Jezierski Jerzy Kijowski Marian Wiatr
  3. Variations of Weyl's tube formula - Annegret Burtscher Gert Heckman
  4. Weak second Bianchi identity for static, spherically symmetric spacetimes with timelike singularities - Annegret Burtscher Michael K.-H. Kiessling A. Shadi Tahvildar-Zadeh