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Seminar

AT Postdoc Seminar: The Mirror Symmetry Conjecture and Cobordisms April 25, 2014 (01:00 PM PDT - 02:00 PM PDT)
Parent Program: Algebraic Topology
Location: MSRI: Baker Board Room
Speaker(s) Hiro Tanaka (Harvard University)
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This talk--aimed for a general audience of neither topologists nor model theorists--will discuss applications of cobordisms to Kontsevich's mirror symmetry conjecture. We'll begin by stating a rough version of the

conjecture, which builds a bridge between symplectic geometry on one hand, and on the other hand, algebraic geometry over the complex numbers. We then discuss how the theory of cobordisms, which studies when two manifolds can be the boundary of another manifold, sheds light on how to generalize the mirror symmetry conjecture, while giving us information about objects in symplectic geometry. (For example, two Lagrangians related by a compact cobordism are equivalent in the Fukaya category.)

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