|SYZ mirror symmetry, Lagrangian intersection theory and stability|
|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|
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.