Math 241 Complex Manifolds, Spring 2020

Instructor: Song Sun

Office: 839 Evans Hall

Office Hours: MW 2-3, or by appointment

References

Required Texts:

S. Donaldson "Riemann surfaces"
D. Huybrechts "Complex geometry"

Recommended Texts:

P. Griffiths, J. Harris, "Principles of algebraic geometry"
K. Kodaira, J. Morrow, "Complex manifolds"
O. Foster, "Lectures on Riemann surfaces"

Prerequisite

Math 214, 215 A, or equivalent. You need to have a good understanding of basic notions in differentiable manifolds and algebraic topology.

Syllabus

This is a course in Complex geometry. The first half of the semester will deal with Riemann surfaces, i.e., 1 dimensional complex manifolds. The second half of the semester will be an introduction to some foundational concepts and techniques in studying higher dimensional complex manifolds.

We will have bi-weekly homework assignments, which will be posted in time on bcourses.