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SUMMARY:Constant scalar curvature metrics and semistable vector bundles - 
 Annamaria Ortu (Göteborgs Universitet)
DTSTART:20240513T104500Z
DTEND:20240513T114500Z
UID:TALK214327@talks.cam.ac.uk
DESCRIPTION:In this talk\, we construct Kaehler metrics with constant scal
 ar curvature on the projectivisation of certain holomorphic vector bundles
 . When the vector bundle is slope-stable and the base admits a constant sc
 alar curvature metric\, it is a classical result of Hong that the total sp
 ace of the projectivisation admits a constant scalar curvature metric in a
 diabatic classes. We extend their result to slope-semistable vector bundle
 s: we show that if E -> B is slope-semistable and the total space of the p
 rojectivisation is K-polystable then it admits a constant scalar curvature
  metric in adiabatic classes.\nThis is joint work with L.M. Sektnan.
LOCATION:Seminar Room 1\, Newton Institute
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