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Explore the geometric structure of null-infinity through a mathematical physics lecture that presents an alternative perspective on Penrose's foundational 1962 concept for describing asymptotically flat space-times. Examine how null-infinity serves as a cornerstone in general relativity applications, including rigorous definitions of gravitational radiation and global quantities like energy-momentum and angular momentum. Discover a novel approach to understanding the degenerate geometric structure of null-infinity through the lens of cut-systems, and investigate how the interplay between cut-systems and conformal invariance leads to an invariant definition of Minkowski space-time "at infinity." Analyze the mathematical consequences and implications of this geometric framework for understanding the asymptotic behavior of space-time in general relativity.
