Stefan Suhr - Gromov-Hausdorff Theory for Lorentzian Spaces

Описание к видео Stefan Suhr - Gromov-Hausdorff Theory for Lorentzian Spaces

This talk was part of the Workshop on "Non-regular Spacetime Geometry" held at the ESI March 13 to 24, 2023.

Motivated by longstanding open question in the theory of the Einstein equations such as the strong cosmic censorship conjecture the talk will introduce a notion of Gromov-Hausdorff distance for a class of abstract Lorentzian spaces, called bounded Lorentz-metric spaces. I will discuss the definition and key examples as well as first stability results for natural geometric conditions under this notion of convergence. This is joint work with Ettore Minguzzi (Florence).

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