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 16th: Notes    for Lecture 13.