Gromov's Reconstruction Theorem and Measured Gromov-Hausdorff Convergence in Lorentzian Spaces

Explore a cutting-edge lecture on non-regular spacetime geometry from the Workshop on "Non-regular Spacetime Geometry" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the crucial topic of convergence in nonsmooth general relativity, focusing on measured Gromov-Hausdorff convergence for Lorentzian spaces. Discover the Lorentzian Gromov reconstruction theorem and its implications for defining isomorphy in measured Lorentzian spaces. Examine various proposed definitions of measured Lorentz-Gromov-Hausdorff convergence, their interrelationships, and potential applications. Gain insights from this collaborative work with Clemens Sämann from the University of Oxford, presented in a 42-minute talk that pushes the boundaries of our understanding of spacetime geometry.