Asymptotic Analysis in General Relativity London Mathematical Society Lecture Note Series

This volume compiles notes from four mini courses given at the summer school on asymptotic analysis in general relativity, held at the Institut Fourier in Grenoble, France. It contains an up-to-date panorama of modern techniques in the asymptotic analysis of classical and quantum fields in general relativity. Accessible to graduate students, these notes gather results that were not previously available in textbooks or monographs and will be of wider interest to researchers in general relativity. The topics of these mini courses are: the geometry of black hole spacetimes; an introduction to quantum field theory on curved spacetimes; conformal geometry and tractor calculus; and microlocal analysis for wave propagation.

1. Introduction to modern methods for classical and quantum fields in general relativity Thierry Daudé, Dietrich Häfner and Jean-Philippe Nicolas; 2. Geometry of black hole spacetimes Lars Andersson, Thomas Bäckdahl and Pieter Blue; 3. An introduction to confirmal geometry and tractor calculus, with a view to applications in general relativity Sean N. Curry and A. Rod Gover; 4. An introduction to quantum field theory on curved spacetimes Christian Gérard; 5. A minicourse on microlocal analysis for wave propagation András Vasy.

Thierry Daudé is a Lecturer in Mathematics at Université de Cergy-Pontoise.
Dietrich Häfner is a Professor of Mathematics at Université Grenoble Alpes.
Jean-Philippe Nicolas is a Professor of Mathematics at Université de Bretagne Occidentale, Brest.