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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Constant scalar curvature metrics and semistable vector bundles

## Constant scalar curvature metrics and semistable vector bundlesAdd to your list(s) Download to your calendar using vCal - Annamaria Ortu (Göteborgs Universitet)
- Monday 13 May 2024, 11:45-12:45
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. EMGW04 - K-stability and moment maps In this talk, we construct Kaehler metrics with constant scalar curvature on the projectivisation of certain holomorphic vector bundles. When the vector bundle is slope-stable and the base admits a constant scalar curvature metric, it is a classical result of Hong that the total space of the projectivisation admits a constant scalar curvature metric in adiabatic classes. We extend their result to slope-semistable vector bundles: we show that if E → B is slope-semistable and the total space of the projectivisation is K-polystable then it admits a constant scalar curvature metric in adiabatic classes. This is joint work with L.M. Sektnan. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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