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Stability of twisted constant scalar curvature Kähler metrics

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If you have a question about this talk, please contact Joe Waldron .

A natural question is whether or not a Kähler manifold admits a canonical choice of Kaehler metric. Calabi proposed that such metrics should have constant scalar curvature, however, unfortunately these metrics do not always exist. One way of constructing such metrics in certain cases is by first solving an auxiliary equation, namely the twisted constant scalar curvature equation. We show that the existence of solutions to this equation implies a form of algebro-geometric stability.

This talk is part of the Junior Geometry Seminar series.

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Seminar Room G, Second Floor, 17 Mill Lane, Cambridge, CB2 1RX Average on Saturdays: 7722.10869565 kWh The Centre at St Paul's, Hills Road, Cambridge CB2 1JP

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