Program
Introduction to Gromov-Witten Theory
Student No.:50
Time:Tue/Thu15:10-17:00, 2014-04-03~ 2014-04-29
Instructor:Chiu-Chu Melissa Liu  [Columbia University]
Place:Conference Room 1, Floor 1, Jin Chun Yuan West Building
Starting Date:2014-4-3
Ending Date:2014-4-29

 

The time of  lecture on April 17 will be changed to 15:30

 

Description:

 

 Gromov-Witten invariants are virtual counts of parametrized algebraic curves in a projective manifold. This course is an introduction to Gromov-Witten theory.

 

Topics include: moduli spaces of stable curves, Hodge integrals, moduli spaces of stable maps, Gromov-Witten invariants, quantum cohomology, and (if time permits) mirror theorems.

 

Prerequisite:

Basic knowledge of algebraic geometry and algebraic topology.

 

Reference:

 (1) David Mumford, “Towards an enumerative geometry of the moduli space of curves,” Arithmetic and geometry, Vol. II, 271-328. Progr. Math. 36, Birkhauser Boston, Boston, MA, 1983.

 

(2) Part 4 (Chapter 21-30) of the book Mirror Symmetry by Kentaro Hori, Sheldon Katz, Albrecht Klemm, Rahul Pandharipande, Richard Thomas, Cumrum Vafa, Ravi Vakil, Eric Zaslow. Clay Mathematics Monographs 1, American Mathematical Society, Providence, RI; Clay Mathematics Institute, Cambridge, MA, 2003.