Kwokwai Chan

Last Update 2024/05/23
Mirror symmetry is discovered by string theorists more than two decades ago. Mathematically, it predicts that the symplectic (resp. complex) geometry of a space is equivalent to the complex (resp. symplectic) geometry of another space. The two spaces are then said to form a mirror pair. My research to date is primarily concerned with the study of the StromingerYauZaslow (SYZ) conjecture which asserts that a mirror pair should admit dual special Lagrangian torus fibrations, and the interchange of geometric structures should be realized by certain Fouriertype transformations. Morally speaking, this means that mirror symmetry is nothing but a Fourier transform.
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