MAT 545  Complex Geometry   Fall 2012 

Tue & Thu 2:30 - 3:50 p.m. Physics P124

Instructor: Ljudmila Kamenova

Office: Math Tower 3-115
Office hours: by appointment

The course aims to give a brief introduction to basic notions and techniques in complex differential geometry and complex algebraic geometry. We would follow mostly the first few chapters of Griffiths and Harris' book.

Topics will include: basic sheaf theory, Hermitian and Kaehler metrics, Chern classes, the Kodaira embedding theorem, the Kodaira (Akizuki-Nakano) vanishing theorem, Lefschetz theorem on (1,1)-classes, complex curves and surfaces.

Text: Principles of Algebraic Geometry, by P. Griffiths and J. Harris

Additional references:

Prerequisites and grading: Students who have not yet passed the departmental comprehensive exam may enroll only by permission of the instructor. If you are taking the math comps in August, feel free to register beforehand. We will assume the material covered in the core courses (Topology-Geometry MAT 530/531, Algebra MAT534/535, Algebraic Topology MAT539 and Complex Analysis MAT542/534).

Grades will be based upon class participation.

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