Topics in Gromov--Witten Theory

Jump to Announcements

Instructor Information.
Instructor. Y.-P. Lee
Office. JWB 305.
Office Hours. Anytime my office door is open.
$yplee$

Class Information
Time. MTWF 14-14:50.
Location. AEB 306
Website. http://www.math.utah.edu/~yplee/teaching/7800f10/
Text. No textbooks. I might supply some handouts.
Homework. I may assign some homework and talk about them in the "discussion sessions". No official turning-in.
Exams. No exam.
Grading Policy. In accordance with the departmental tradition, A is given to all registered students.
Official Catalog Info. Semester: Fall 2010, Class Number: 16449, Subject: MATH, Catalog Number: 7800, Section: 001, Units: 3, Title: Topics in Algebraic Geometry.

Course Description.
The main theme of this class is "Gromov--Witten Theory". My plan is to begin at the introductory level, assuming only basic knowledge of algebraic geometry, and spend a few weeks building necessary machinery for the subject. The goal is to go through some selected research areas in the field.

Possible topics include:

Moduli of curves and maps.
Mumford's calculation.
Equivariant cohomology/intersection theory. (Virtual) localization.
Relative Gromov--Witten theory.
Orbifold Gromov--Witten theory.
Givental's axiomatic approach.

If you are interested in getting some ideas of the subject in advance, you can try the following expository papers and lecture notes: Koch and Vainsencher, Fulton and Pandharipande, Givental, and Bertram(!).

Announcements: (in reverse chronological order)

Future announcements here.

Department Schedule • Y.-P.'s teaching page • Y.-P.'s homepage

$Valid XHTML 1.0!$