Math 221A Topics in Several Complex Variables
Lectures:
MWF from 2:00 to 2:50am at AP&M B402A.
Instructor:
Ming Xiao
Email:
m3xiao@ucsd.edu
Office Hours:
Effective from the week of April 4th, 1:00pm-2:00pm on Mondays and Fridays at 7426 AP&M (or by appointment).
Subject Material:
We aim to cover the following topics in this course (subject to minor adjustment):
Basics in Several Complex Variables;
Pseudoconvexity and domains of holomorphy;
The Bergman kernel and metric, and their analytic and geometric aspects;
Fefferman's Monge-Ampere equation.
Reference books:
An Introduction to Complex Analysis in Several Variables by L. Hormander
Geometric Analysis of the Bergman Kernel and Metric by S. Krantz
Note:
There will be no HW or exams.
Lecture Notes:
March 28th: Notes for Lecture 1.
March 30th-April 1st: Notes for Lecture 2.
April 4th-April 8th: Notes for Lecture 3.
April 8th-11th: Notes for Lecture 4.
April 11th-15th: Notes for Lecture 5.
April 18th-20th: Notes for Lecture 6.
April 22nd-25th: Notes for Lecture 7.
April 27th-April 30th: Notes for Lecture 8.
May 2nd-May 4th: Notes for Lecture 9.
May 4th-May 6th: Notes for Lecture 10.
May 9th-May 11th: Notes for Lecture 11.
May 11th-May 13th: Notes for Lecture 12.
May 13th-May 18th: Notes for Lecture 13.
May 23rd-May 27th: Notes for Lecture 14.
June 1st: Notes for Lecture 15.