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An introduction to K-stability

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A central problem in complex geometry is to find necessary and sufficient conditions for the existence of a constant scalar curvature Kaehler metric on an ample line bundle. The Yau-Tian-Donaldson conjecture states that this should equivalent to the algebro-geometric notion of K-stability, related to geometric invariant theory. I will give a gentle introduction to K-stability and time permitting there will be some applications.

This talk is part of the Junior Geometry Seminar series.

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