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Several Complex Variables - Fall 2009

**Coordinates:** Tuesday 9:30 - 10:30, Thursday 9:30 - 11:30 in MC 106

**Instructor:** Rasul Shafikov, MC 112,
.
Office Hours:

- Monday 2:30 PM - 3:30 PM
- Thursday 11:30 AM - 12:30 PM

**Textbook:** Holomorphic Functions and Integral Representations
in Several Complex Variables (Graduate Texts in Mathematics v. 108) by Michael
Range. The book is available at the Western bookstore, and is also on a two-hour
reserve at the Taylor library.

Read the review of the textbook by Klas Diederich.

**Course Description:** The goal of the course is to give a gentle
introduction to several complex variables. The material will include some basic
function theory in several complex variables, general discussion of domains of holomorphy,
and characterization of pseudoconvexity. This will roughly correspond to Chapters 1 and 2
of the textbook, and some material from Chapter 6. If time permits, we'll discuss some
basic properties of Stein manifolds.

**Prerequisites:** Solid background in one complex variable.

**Assignments:** There will be 4 or 5 homework assignments. This will include
routine exercises as well as some challenging problems. In addition, every graduate student
will give an in-class presentation on a topic arranged with the instructor.

**Evaluation:**

- Homework = 70%,
- Presentation = 30%

Check this page regularly for up to date information...