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SUMMARY:Ettore Minguzzi (University of Florence)
DTSTART:20230504T133000Z
DTEND:20230504T143000Z
DTSTAMP:20260423T023045Z
UID:jomarec/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/jomarec/26/"
 >Abstract Lorentzian metric spaces and their Gromov-Hausdorff convergence<
 /a>\nby Ettore Minguzzi (University of Florence) as part of JoMaReC - Join
 t Online Mathematical Relativity Colloquium\n\n\nAbstract\nA definition fo
 r `bounded Lorentzian metric space' is presented and discussed. This is an
  abstract notion of Lorentzian metric space that is sufficiently general t
 o comprise compact causally convex subsets of globally hyperbolic (smooth)
  spacetimes\, and causets.\nIt is shown that a generalization of the Gromo
 v-Hausdorff distance and convergence can be applied to these spaces. Furth
 ermore\, two additional axioms of timelike connectedness and existence of 
 maximizers\, which are stable under GH-convergence\, lead to suitable noti
 ons of Lorentzian pre-length and length spaces. Similarly\, sectional curv
 ature bounds stable under GH-convergence can be introduced. A (pre)compact
 ness theorem is also mentioned and its limitations are discussed. Talk bas
 ed on joint work with Stefan Suhr (Bochum).\n
LOCATION:https://researchseminars.org/talk/jomarec/26/
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