Math 935: Complex Geometry

Instructor: Xiaodong Wang

• Office: D202 Wells Hall
• Phone: (517) 353-5414
• Fax: (517) 432-1562
• Email: xwang@math.msu.edu

Lectures: MWF 12:40 -13:30, A208 Wells Hall

Office Hours: TTh 2:00-3:30PM or by appointment

Textbook: D. Huybrechts, Complex Geometry: An Introduction, Springer, 2005.

References:

• P. Griffiths and J. Harris, Principles of Algebraic Geometry , Wiley.
• O. Foster, Lectures on Riemann Surfaces, GTM 81, Springer.

Syllabus:

• holomorphic functions of several variables
• complex manifolds
• holomorphic vector bundles and Chern classes
• Kahler metrics
• Hodge theory
• sheafs and their cohomology
• Riemann-Roch

Grading: No exam. There will be 3 or 4 homework assignments.