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# Symplectic Geometry, Mirror symmetry and Holomorphic Curves

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Lecturer 홍한솔
Dept. 연세대 수학과
date May 30, 2019

Symplectic geometry arose from the study of classical mechanics, and later many interesting symplectic invariants has been found since Gromov introduced techniques of J-holomorphic curves.
Miraculously, such invariants are closely related with complex geometry information of a certain complex manifold, called the mirror manifold, as mirror symmetry conjecture predicts.
In this talk, we discuss a few approaches to construct a mirror manifold of a given symplectic manifold, and investigate how mirror symmetry can be used to discover new interesting geometries.

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