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CREATED:20240214T081657Z
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SUMMARY:Bulk-boundary correspondence for vacuum asymptotically Anti-de Sitter spacetimes
DESCRIPTION:Abstract: The AdS/CFT conjecture in physics posits the existence of a correspondence between gravitational theories in asymptotically Anti-de Sitter (aAdS) spacetimes and field theories on their conformal boundary. In this presentation\, we prove rigorous mathematical statements toward this conjecture. \nIn particular\, we show there is a one-to-one correspondence between aAdS solutions of the Einstein-vacuum equations and a suitable space of data on the conformal boundary (consisting of the boundary metric and the boundary stress-energy tensor). We also discuss consequences of this result\, as well as the main ingredient behind its proof: a unique continuation property for wave equations on aAdS spacetimes. \nThis is joint work with Gustav Holzegel (and makes use of joint works with Alex McGill and Athanasios Chatzikaleas).
URL:https://cmsa.fas.harvard.edu/event/3-21-2022-general-relativity-seminar/
LOCATION:MA
CATEGORIES:General Relativity Seminar
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