Program
MSP Fields, GW theory, and FJRW theory
Student No.:50
Time:Thu 15:10-17:00/Fri 10:10-12:00, 2016-07-14~ 2016-07-29
Instructor:Chiu-Chu Melissa Liu  [Columbia University]
Place:Conference Room 4, Floor 2, Jin Chun Yuan West Building
Starting Date:2016-7-14
Ending Date:2016-7-29

 

 

Description:

 

 

Gromov-Witten (GW) invariants of quintic Calabi-Yau 3-folds (degree 5 hypersurfaces in P^4) are virtual counts of algebraic curves in the quintic threefold. Fan-Jarvis-Ruan-Witten (FJRW) invariants are virtual counts of solutions to the Witten equation associated to the Fermat quintic polynomial. In this course, we will describe the theory of Mixed-Spin-P (MSP) fields interpolating GW theory of quintic Calabi-Yau 3-folds and FJRW theory of the Fermat quintic polynomial.

 

 

 

Prerequisite:

 

 

Basic Algebraic Geometry

 

 

 

Reference:

 

 

Huai-Liang Chang, Jun Li, Wei-Ping Li, and Chiu-Chu Melissa Liu, "Mixed-Spin-P fields of Fermat quintic polynomials"

 

 

Huai-Liang Chang, Jun Li, Wei-Ping Li, and Chiu-Chu Melissa Liu,

 

"An effective theory of GW and FJRW invariants of quintics Calabi-Yau manifolds"