Several
Complex Variables:Math 567, Spring 2012
Instructor John E. McCarthy
Class
MWF 3.00-4.00 in 216 Cupples I
Office
105 Cupples
I
Office Hours MF 11:00-12:00, W 9:15 -10:00
Phone
935-6753
Prerequisites The
pre-requisites for the course are 5021-5022 and 5051-5052.
Interested students who are taking 5022 and
5052 concurrently are welcome.
Content
We shall
cover the basic theory of holomorphic functions of
several variables.
Historically, there
have been five different approaches to their study, each one being useful
for different sorts
of questions. These are methods of power series, integral kernels, sheaf
theory,
d-bar, and operator
theory. We shall try to give the flavor of all five methods.
Basis for Grading
Grades are based on attendance and class participation.
Bibliography
The following is a brief bibliography you may find useful.
R.C.
Gunning Introduction to holomorphic
functions of several variables, Vols. I-III
L. Hormander An introduction to complex analysis in
several variables
S.G.
Krantz Function Theory of Several Complex Variables