|Introduction to Several Complex Variables|
|Time：||Part 1: Duration: 2015-03-30~ 2015-06-17(except for public holidays) Time: Mon/Wed 10:10-12:00 Part 2: Duration: 2015-07-06~ 2015-08-10(except for public holidays) Time: Mon/Wed 10:10-12:00|
|Instructor：||Bun Wong [University of California, Riverside ]|
|Place：||Conference Room 4, Floor 2, Jin Chun Yuan West Building|
In this course I will discuss some elementary material of Several Complex Variables. The topics of discussion include Hartogs’ Theorem, domains of holomorphy/holomorphically convex domains/pseudoconvex domains and their characterizations, an illustration of a proof of the Levi Problem using d-bar method, Stein manifolds.
Some aspects of recent development of the Mapping Problems in Several Complex Variables will be surveyed. We will also discuss some different geometric techniques in Several Complex Variables.
Basic knowledge of complex analysis of one variable.
(1) Steven G. Krantz, Functions Theory of Several Complex Variables.
(2) Lars Hormander, An introduction to Complex Analysis in Several variables.
(3) Robert C. Gunning, Introduction to Holomorphic Functions of Several Variables, Vol 1.
(4) Fangyang Zheng, Complex Differential Geometry.