Microlocal analysis near null infinity on asymptotically flat spacetimes (Joint with IP seminar)

I will explain a microlocal framework for wave propagation
on asymptotically flat spacetimes of arbitrary dimension which in
particular includes operator corresponding to Lorentzian metrics
arising from solutions of Einstein’s equations in the 4 spacetime
dimensional setting. On the compactification of Minkowski space that
underlies this, which is a manifold with corners, the operators lie in
a combination of Melrose’s totally characteristic (also called b), and
Mazzeo’s edge pseudodifferential operator algebras. This is joint work
with Peter Hintz.