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Math 257A-topics on complex geometry, General Information
Spring, 2005


Course Description

The first half of the course is a continuation of Math 220 (complex analysis), in which we shall cover the classical materials on Riemann surfaces with focus on the uniformization of Riemann surfaces. The second half of the course will focus on various methods of modern analysis, including the L^2 estimates, the existence of minimal spheres and Kaehler-Ricci flow, again with focus on the uniformization problem on Kaehler manifolds through curvature conditions.

There will be no final exam.

The complete course schedule will be available.


Instructors

Name Office E-mail Phone Office Hours
Ni, Lei AP&M 5250 lni@math.ucsd.edu 534-2704 MWF 11:00-12:00am


Course Time and Location

Section Instructor Time Place
A00 Ni MWF 2:00-2:50 am APM 7421


Texts

Text: (1) Lectures on Riemann Surfaces, Forster;

(2)Lectures on Harmonic Maps, Schoen and Yau

(3) Some recent papers related to Kaehler-Ricci flow.


Exams

There will be no exam.

Homework

There will be some homework assignments. Homework should be turned by the end of the quarter.


Schedule

The course schedule will be available.


Grades

Grades will be based on the following percentages.
Homework 100%

Last modified: Wed March 04, 14:49:08 PST 2004