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Conformal Einstein's equations

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TWT - Twistor theory

Einstein field equations are not conformally invariant. Despite this fact, conformal geometry plays an important role in description of asymptotics of the solutions via 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 may talk, together with some interesting implications.  

This talk is part of the Isaac Newton Institute Seminar Series series.

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