BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Miguel Sánchez (University of Granada\, Spain) DTSTART:20260604T133000Z DTEND:20260604T143000Z DTSTAMP:20260423T021457Z UID:jomarec/52 DESCRIPTION:Title: Globally hyperbolic spacetimes-with-timelike-boundary: global splitting\, asymptotically AdS spacetimes and null-convexity\nby Miguel Sánchez (University of Granada\, Spain) as part of JoMaReC - Joint Online Mathemat ical Relativity Colloquium\n\n\nAbstract\nGlobally hyperbolic spacetimes w ith a timelike boundary model spacetimes with naked singularities distribu ted on a timelike hypersurface\, potentially admitting conditions on both the boundary and a Cauchy hypersurface. Typically\, the boundary can serve as: (1) a cut-off for the system under consideration\, or (2) a conformal completion of the spacetime\, as in the case of asymptotically Anti-de Si tter spacetimes.\n\nFirst\, we will review some of their general propertie s\, including those related to causality\, the existence of global orthogo nal splittings\, and the relationship between the properties of the bounda ry and the interior of the spacetime. Then\, we will focus on the null-con vexity of the boundary. This is a natural assumption satisfied by asymptot ically AdS spacetimes\, which implies that the interior of the spacetime r etains most of the geometric properties of the boundaryless case\, such as being causally simple with a Hausdorff space of lightlike geodesics.\n\nB ased in joint work with L. Aké and JL. Flores (arxiv: 1808.04412) and wit h J. Herrera (arxiv: 2506.09032).\n LOCATION:https://researchseminars.org/talk/jomarec/52/ END:VEVENT END:VCALENDAR