Geometry and Topology Seminar
Symplectic aspects of mirror symmetry
Paul Hacking, University of Massachusetts

Mirror symmetry is a mysterious correspondence between pairs X,Y of Calabi-Yau manifolds (complex manifolds with vanishing first Chern class). The complex geometry of X is related to the symplectic geometry of Y and vice versa. In particular, holomorphic vector bundles on X and maps between them correspond to Lagrangian submanifolds of Y and their Floer homology. I will explain the main ideas and present some key examples.

2:30pm–3:45pm, Wednesday, September 30, 2009 in LGRT 1535

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