Topics in Complex Geometry
This is an introductory course to complex geometry. We plan to cover the following topics, which may vary depending on the progress and the students interests.
1. Complex manifolds and sheaf theory
2. Kahler geometry and Hodge theory
3. Kodaira projective embedding theorem
4. L2 methods and extension theorems
R.O. Wells: Differential Analysis on Complex Manifolds, P. Griffiths and J. Harris: Principles of algebraic geometry, J.P. Demailly: Analytic methods in algebraic geometry
complex analysis, differential geometry