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The asymptotic structure of gravity in the asymptotically flat context will be described at spatial infinity by Hamiltonian methods. The first lecture will provide the main ideas, give the Poisson bracket algebra of the BMS charges and propose a supertranslation-invariant definition of the angular momentum. The second lecture will discuss the connection with null infinity and provide in particular a justification of Strominger's matching conditions of the fields between past null infinity and future null infinity.
Supported by the "2021 Balzan Prize for Gravitation: Physical and Astrophysical Aspects", awarded to Thibault Damour
Thibault Damour