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SUMMARY:Peng WU (Fudan University)
DTSTART:20210715T013500Z
DTEND:20210715T022500Z
DTSTAMP:20260423T024513Z
UID:2021PRCSG/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2021PRCSG/9/
 ">Complex structures on Einstein four-manifolds of positive scalar curvatu
 re</a>\nby Peng WU (Fudan University) as part of 2021 Pacific Rim Complex 
 & Symplectic Geometry Conference\n\n\nAbstract\nThe question that when a f
 our-manifold with a complex structure admits a compatible Einstein metric 
 of positive scalar curvature has been answered by Tian\, LeBrun\, respecti
 vely. Tian classified Kahler-Einstein four-manifolds with positive scalar 
 curvature\, LeBrun classified Hermitian\, Einstein four-manifolds of posit
 ive scalar curvature. In this talk we consider the inverse problem\, that 
 is\, when a simply connected four-manifold with an Einstein metric of posi
 tive scalar curvature admits a compatible complex structure. We will show 
 that if the determinant of the self-dual Weyl curvature is positive then t
 he manifold admits a compatible complex structure.\n
LOCATION:https://researchseminars.org/talk/2021PRCSG/9/
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