Einstein field equations are not conformally invariant.
Despite this fact, conformal geometry plays an important role in
description of asymptotics of the solutions via so-called Penrose
conformal compactification. Moreover, in many cases such conformal
compactification of solution is smooth. It turns out that these facts
are linked to a fundamental object in conformal geometry, Fefferman-
Graham obstruction tensor. I will describe this connection in my talk,
together with some interesting implications.
The talk will last approximately 2x45 min with a break.