BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Raphaela Wutte (Arizona State University) DTSTART:20250605T133000Z DTEND:20250605T143000Z DTSTAMP:20260423T023042Z UID:jomarec/45 DESCRIPTION:Title: Hyperbolic Mass in 2+1 Dimensions\nby Raphaela Wutte (Arizona State U niversity) as part of JoMaReC - Joint Online Mathematical Relativity Collo quium\n\n\nAbstract\nSolutions to general relativity with a negative cosmo logical constant have received significant attention due to the conjecture d AdS/CFT correspondence\, a particularly well-understood example of which is exhibited in 2+1 dimensions.\n\nI will review known vacuum solutions t o general relativity with a negative cosmological constant in 2+1 dimensio ns and discuss the difficulties in defining mass\, which are resolved via minimisation using a positive energy theorem. I will present a gluing theo rem for vacuum time-symmetric general-relativistic initial data sets in tw o spatial dimensions. By gluing two given time-symmetric vacuum initial da ta sets at conformal infinity\, we obtain new time-symmetric vacuum initia l data sets. I will sketch the derivation of the mass formulae of the resu lting manifolds. Our gluing theorem yields complete manifolds with any mas s aspect function\, which are smooth except for one conical singularity.\n \nBased on joint work with P. T. ChruĊ›ciel.\n LOCATION:https://researchseminars.org/talk/jomarec/45/ END:VEVENT END:VCALENDAR