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Explore the universal asymptotic structure of spacetimes through this 35-minute conference lecture that introduces novel hyperbolic formulations of the conformal Einstein equations. Learn how these new formulations accommodate generic matter fields and work in arbitrary physical spacetime dimensions. Discover the derivation of coupled nonlinear wave equations using adapted generalized harmonic gauge techniques, and examine how first-order, symmetrizable hyperbolic equations emerge from reduced nonphysical Einstein equations. Understand the evolutionary form of nonphysical constraints and their solvability conditions in the context of modern general relativity and mathematical physics.
