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SUMMARY:Lars Sketnan (University of Gothenburg)
DTSTART:20220111T163000Z
DTEND:20220111T173000Z
DTSTAMP:20260423T022722Z
UID:Geolis/69
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/69/">
 Blowing up extremal Kähler manifolds</a>\nby Lars Sketnan (University of 
 Gothenburg) as part of Geometria em Lisboa (IST)\n\n\nAbstract\nExtremal K
 ähler metrics were introduced by Calabi in the 80’s as a type of canoni
 cal Kähler metric on a Kähler manifold\, and are a generalisation of con
 stant scalar curvature Kähler metrics in the case when the manifold admit
 s automorphisms. A natural question is when the blowup of a manifold in a 
 point admits an extremal Kähler metric. We completely settle the question
  in terms of a finite dimensional moment map/GIT condition\, generalising 
 work of Arezzo-Pacard\, Arezzo-Pacard-Singer and Székelyhidi. Our methods
  also allow us to deal with a certain semistable case that has not been co
 nsidered before\, where the original manifold does not admit an extremal m
 etric\, but is infinitesimally close to doing so. As a consequence of this
 \, we solve the first non-trivial special case of a conjecture of Donaldso
 n. This is joint work with Ruadhaí Dervan.\n
LOCATION:https://researchseminars.org/talk/Geolis/69/
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