BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251024T071852EDT-8151DGT6Nv@132.216.98.100 DTSTAMP:20251024T111852Z DESCRIPTION:Title: Examples of Compact Einstein four-manifolds with negativ e curvature.\n\nAbstract: We construct new examples of closed\, negatively curved Einstein four-manifolds. More precisely\, we construct  Einstein m etrics of negative sectional curvature on ramified covers of compact hyper bolic four-manifolds with symmetries\, initially considered by Gromov and Thurston. These metrics are obtained through a deformation procedure.  Our candidate approximate Einstein metric is an interpolation between a black -hole Riemannian Einstein metric near the branch locus and the pulled-back hyperbolic metric. We then deform it into a genuine solution of Einstein’ s equations\, and the deformation relies on an involved bootstrap procedur e. Our construction yields the first example of compact Einstein manifolds with negative sectional curvature which are not locally homogeneous. This is a joint  work with J. Fine (ULB\, Brussels).\n\n \n DTSTART:20180131T183000Z DTEND:20180131T193000Z LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Bruno Premoselli (ULB\, Brussels) URL:/mathstat/channels/event/bruno-premoselli-ulb-brus sels-284263 END:VEVENT END:VCALENDAR