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Algebraic Geometry

Kähler Geometry

Kaehler geometry studies complex manifolds with a hermitian metric adapted to the complex structure. I plan to start from the basics and then concentrate on some aspects of the theory of canonical metrics on compact Kaehler manifolds (including the Calabi-Yau theorem). Some other topics (e.g. the hyperkaehler condition; variational approach to Kaehler-Einstein metrics; deformation theory of Kaehler-Einstein metrics) may be covered depending on the interests of the audience.

Some references:

Algebraic Surfaces

The lectures will follow the book : "Complex Algebraic Surfaces" by Arnauld Beauville



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