/fɞlkʰœ ʃluɘ/Laboratoire Jacques-Louis Lions
It was organized by Lydia Bieri, Jim Isenberg, and Shing-Tung Yau, and attended by many people: [Group photo]. Notably, Demetri Christodoulou gave an inspiring talk about the formulation of the two-body problem in general relativity, similar to his lecture at the Institut Henri Poincaré in Paris. Moreover Abhay Ashtekar gave a fascinating talk on status of the theory of gravitational radiation with positive cosmological constant.
It brought together a broad spectrum of both physicists and mathematicians; most of the plenary sessions we recorded.
The six weeks (!) long program offered lectures and discussions in essentially all areas of mathematical general relativity, beginning with a workshop on constraint equations (with very instructive survey talks by Mu-Tao Wang and Sergio Dain), followed by two weeks on perturbation methods (with interesting talks on the post-Newtonian approximation by Luc Blanchet). The program of the conference on black holes held inspiring talks by Shing-Tung Yau on the history of mathematical relativity, Tsvi Piran on observational evidence for black holes, and Mihalis Dafermos on the stability of black holes; among many others, see in particular the lectures of Andras Vasy, and Rick Schoen. The remaining three weeks were very actively devoted to the black hole stability problem (also with both positive and negative cosmological constant, as discussed e.g. by Semyon Dyatlov and Claude Warnick), the nature of singularities in general relativity (with interesting talks by Jan Sbierski, Greg Fournodavlos, Jonathan Luk, and Jim Isenberg), and finally non-linear wave equations more generally.
She set the stage for the evolution problem in general relativity in 1952, and remains active more than 60 years later.(Photo of Mme Choquet at the conference.)
The lectures given in the Initial Data and Evolution Problems workshop were recorded, and provide a great cross-section of current research in general relativity.
The Oberwolfach Report 37/2012 is a great overview of current research activity in general relativity. It is a collection of extended abstracts of the talks given at the There are also some notes taken by Willie Wong.
The lecture notes of the course by Mihalis Dafermos and Igor Rodnianski are a seminal introduction to the wave equation on black hole spacetimes.