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




 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.



Basic knowledge of algebraic geometry and algebraic topology.



 (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.