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Explore the intricacies of encoding radiative degrees of freedom in 4-dimensional asymptotically AdS spacetimes through this 41-minute conference talk. Delve into the use of boundary Cotton and stress tensors, and examine how background radiation impacts the asymptotic symmetry group in AdS spacetimes. Compare this to asymptotically flat spacetimes, where news tensors do not restrict asymptotic symmetries. Investigate null gauges, such as Λ-BMS, as a framework for AdS spacetimes that incorporate radiation in the flat limit. Verify the flat limit of radiative data against the expected definition in intrinsically asymptotically flat spacetimes. Finally, study the dimensional reduction of this construction to the celestial sphere, and learn how to extract 2-dimensional celestial currents from 3-dimensional boundary data.