Program
SYZ mirror symmetry, Lagrangian intersection theory and stability
Student No.:50
Time:Wed 10:10-12:00/Fri 13:00-14:50, 2014-07-09 ~ 2014-07-18
Instructor:Siu-Cheong Lau  [Harvard University]
Place:Conference Room 1, Floor 1, Jin Chun Yuan West Building
Starting Date:2014-7-9
Ending Date:2014-7-18
 

Description:

 

Mirror symmetry, originally found by string theorists in the early 90's, has developed into a new branch of mathematics nowadays. It leads to the discoveries of Gromov-Witten theory and Lagrangian intersection theory, and new developments of some old branches of mathematics such as deformation theory and complex function theory. In this short course I will explain mirror symmetry using T-duality with quantum corrections, which is an approach proposed by Strominger-Yau-Zaslow.I will introduce the Gross-Siebert program of `tropicalizing' mirror symmetry. If time is sufficient, I will explain a conjectural relation between stability and special Lagrangian submanifolds, which was proposed by Thomas-Yau and recently further elaborated by Joyce, motivated from mirror symmetry.

 

Prerequisite:

 
a good sense of differential geometry, symplectic geometry, complex geometry and deformation theory