BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Stefan Czimek (Brown University) DTSTART:20211202T143000Z DTEND:20211202T153000Z DTSTAMP:20260423T023046Z UID:jomarec/13 DESCRIPTION:Title: The characteristic gluing problem of general relativity\nby Stefan Cz imek (Brown University) as part of JoMaReC - Joint Online Mathematical Rel ativity Colloquium\n\n\nAbstract\nIn this talk we introduce and solve the characteristic gluing problem for the Einstein vacuum equations. We prove that obstructions to characteristic gluing come from an infinite-dimension al space of conservation laws along null hypersurfaces for the linearized equations at Minkowski. We show that this obstruction space splits into an infinite-dimensional space of gauge-dependent charges and a 10-dimensiona l space of gauge-invariant charges. We identify the 10 gauge-invariant cha rges to be related to the energy\, linear momentum\, angular momentum and center-of-mass of the spacetime. Based on this identification\, we explain how to characteristically glue a given spacetime to a suitably chosen Ker r black hole spacetime. As corollary we get an alternative proof of the Co rvino-Schoen spacelike gluing to Kerr. Moreover\, we apply our characteris tic gluing method to localise characteristic initial data along null hyper surfaces. In particular\, this yields a new proof of the Carlotto-Schoen s pacelike localization where our method yields no loss of decay\, thus reso lving an open problem in this direction. We also outline further applicati ons. This is joint work with S. Aretakis (Toronto) and I. Rodnianski (Prin ceton).\n LOCATION:https://researchseminars.org/talk/jomarec/13/ END:VEVENT END:VCALENDAR