Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only! Grab it Explore an innovative approach to Lorentzian geometry and General Relativity that transcends classical differential geometry in this 34-minute conference talk by Clemens Sämann. Delve into a framework that eschews the need for smoothness and manifolds, opening up new possibilities for studying curvature bounds in low-regularity spacetimes and more general spaces. Learn how this perspective shift, analogous to advancements in Riemannian geometry (Alexandrov-, CAT(k)-, and CD-spaces), has proven highly productive. Gain insights into the fundamentals of this approach, discover recent progress in the field, and explore future research directions in non-regular spacetime geometry using metric (measure) geometry.