Abstract: In this talk, I will explore conditions for a timelike curvature-driven Gromov compactness theorem within the framework of Lorentzian length spaces (LLS).
We will begin by introducing the concept of the (pointed) Gromov-Hausdorff distance for metric spaces and discuss its adaptation to the Lorentzian context.
Following this, we will examine Gromov compactness results for length spaces and investigate their generalization to the Lorentzian setting. To conclude, I will outline a preliminary approach to proving a curvature-driven compactness theorem in the Lorentzian case, supported by examples of GH-diverging Lorentzian length spaces to illustrate key challenges and requirements.
Gromov-Hausdorff Distance and Gromov Compactness in Lorentzian Length Spaces
31.01.2025 09:45 - 11:15
Organiser:
M. Kunzinger (U Wien), R. Steinbauer (U Wien)
Location: