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Siu-Cheong Lau

2011-09-21
13:30:00 - 15:30:00

R101 , Astronomy and Mathematics Building

In this talk I will introduce my recent joint work with KW Chan, NC Leung and HH Tseng on mirror maps via the SYZ approach. We work on two main classes of toric manifolds, namely toric Calabi-Yau manifolds and compact semi-Fano manifolds. First I will recall the construction of their mirrors by T-duality with quantum corrections. Then I will show that the SYZ construction agrees with the traditional mirror maps under certain assumptions. Applications to open GW invariants will also be discussed.