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SUMMARY:Bruno Premoselli (Université Libre de Bruxelles)
DTSTART:20201020T140000Z
DTEND:20201020T150000Z
DTSTAMP:20260423T035413Z
UID:Geometry/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geometry/14/
 ">Glueing constructions of Compact Einstein four-manifolds with negative s
 ectional</a>\nby Bruno Premoselli (Université Libre de Bruxelles) as part
  of Pangolin seminar\n\n\nAbstract\nWe construct examples of closed Einste
 in four-manifolds with negative sectional curvature. We describe two main 
 families of examples which are respectively obtained as ramified covers an
 d smooth quotients of ``large’’ hyperbolic 4-manifolds with symmetries
 . The first family of examples is sometimes referred to as Gromov-Thurston
  manifolds. The Einstein metrics that we construct are the result of a glu
 eing procedure. They are obtained as deformations of an approximate Einste
 in metric which is an interpolation between a ``black-hole – type’’ 
 Riemannian Einstein metric near the symmetry locus and the hyperbolic metr
 ic. This construction yields the first example of  compact Einstein manifo
 lds with negative sectional curvature which are not locally homogeneous. T
 his is a joint  work with J. Fine (ULB\, Brussels).\n
LOCATION:https://researchseminars.org/talk/Geometry/14/
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