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.
Global Hyperbolicity Through the Eyes of the Null Distance
Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube
Overview
Syllabus
Leonardo García-Heveling - Global hyperbolicity through the eyes of the null distance
Taught by
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Related Courses
-
Properties of the Null Distance on a Spacetime
-
The Space of Causal Diamonds as a Lorentzian Pre-Length Space
-
"Nice" Future Causal Boundary at Finite Distance and Low-Regularity Extension
-
Constructing Distance Realizers via Midpoints in Lorentzian Mid-Length Space
-
Gromov-Hausdorff Theory for Lorentzian Spaces
-
Alexandrov's Patchwork and the Bonnet-Myers Theorem for Lorentzian Length Spaces
