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SUMMARY:Claude LeBrun (Stony Brook University)
DTSTART:20230316T153000Z
DTEND:20230316T163000Z
DTSTAMP:20260423T005706Z
UID:Geolis/119
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/119/"
 >Einstein Manifolds\, Self-Dual Weyl Curvature\, and Conformally Kähler G
 eometry</a>\nby Claude LeBrun (Stony Brook University) as part of Geometri
 a em Lisboa (IST)\n\n\nAbstract\nThere are certain compact 4-manifolds\, s
 uch as real and complex hyperbolic 4-manifolds\, 4-tori\, and K3\, where w
 e completely understand the moduli space of Einstein metrics. But there ar
 e vast numbers of other 4-manifolds where we know that Einstein metrics ex
 ist\, but cannot currently determine whether or not there might also exist
  other Einstein metrics on them that are utterly different from the ones w
 e currently know.\n\nIn this lecture\, I will present two quite different 
 characterizations of the known Einstein metrics on del Pezzo surfaces. The
 se results imply\, in particular\, that the known Einstein metrics exactly
  sweep out a single connected component of the Einstein moduli space. I wi
 ll then briefly indicate the role these results play in current avenues of
  research.\n
LOCATION:https://researchseminars.org/talk/Geolis/119/
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