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.
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