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Wednesday 13 April 2011, 16:30-17:30
Ribbon Graphs and Mirror Symmetry
- đ¤ Speaker: Zaslow, E (Northwestern)
- đ Date & Time: Wednesday 13 April 2011, 16:30 - 17:30
- đ Venue: Seminar Room 1, Newton Institute
Abstract
Beginning with a ribbon graph with some extra structure, I will define a dg category, the “constructible plumbing model,” which serves as a stand-in for the Fukaya category of the Riemann surface associated to the ribbon graph. When the graph has a combinatorial version of a torus fibration with section, I will define a one-dimensional algebraic curve, and prove that the dg category of vector bundles on the curve is equivalent to the constructible plumbing model, a version of homological mirror symmetry in one-dimension. I will also discuss the higher-dimensional case.
This talk is based on joint work with Nicolo’ Sibilla and David Treumann.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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