Global Hyperbolicity Through the Eyes of the Null Distance

Explore a 42-minute conference talk from the Workshop on "Non-regular Spacetime Geometry" held at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) in March 2023. Delve into the question of encoding spacetime causal information in a metric space structure, as conjectured by Sormani and Vega in 2016. Discover recent findings confirming that causal relations can indeed be encoded, and learn how global hyperbolicity can be characterized through the completeness of the corresponding metric space. Gain insights from Leonardo García-Heveling's presentation on joint work with Annegret Burtscher, offering a fresh perspective on spacetime geometry and causal structures in physics and mathematics.