Scientific Staff

Kwokwai Chan
Position
Project Researcher (from 2011/01/01 to 2011/07/15)
Other Affiliation
The Chinese University of Hong Kong

URL
http://www.ihes.fr/~kwchan/
PHOTO

Last Update 2012/03/21 10:28:14

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 Strominger-Yau-Zaslow (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 Fourier-type transformations. Morally speaking, this means that mirror symmetry is nothing but a Fourier transform.


Back to Member List.