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SUMMARY:The Geometry of 4-Manifolds: Curvature in the Balance
DTSTART:20250526T120000Z
DTEND:20250526T130000Z
DTSTAMP:20260522T144600Z
UID:indico-event-14302@indico.math.cnrs.fr
DESCRIPTION:Speakers: Claude LeBrun (Stony Brook University)\n\nFor Kaehle
 r metrics on a compact complex surface\, the L2-norms of the scalar curvat
 ure and the self-dual Weyl curvature are equal\, up to a universal multipl
 icative constant. By contrast\, when considered as functionals on the spac
 e of all Riemannian metrics on a fixed compact oriented 4-manifold\, these
  two L2-norms are completely independent. However\, striking patterns emer
 ge when we compare their sizes for special classes of Riemannian metrics\,
  such as Einstein metrics or almost-Kaehler metrics. In this lecture\, I w
 ill describe a number of results that establish such general patterns. I w
 ill then show how results from Kaehler geometry can be used to shed new li
 ght on the infimum of the Weyl functional.\n\nhttps://indico.math.cnrs.fr/
 event/14302/
LOCATION:Salle Pellos (1R2-207)
URL:https://indico.math.cnrs.fr/event/14302/
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