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SUMMARY:Ribbon Graphs and Mirror Symmetry - Zaslow\, E (Northwestern)
DTSTART:20110413T153000Z
DTEND:20110413T163000Z
UID:TALK30764@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Beginning with a ribbon graph with some extra structure\, I wi
 ll define a dg category\, the "constructible plumbing model\," which serve
 s 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 equival
 ent to the constructible plumbing model\, a version of homological mirror 
 symmetry in one-dimension. I will also discuss the higher-dimensional case
 . \n\nThis talk is based on joint work with Nicolo' Sibilla and David Treu
 mann.\n
LOCATION:Seminar Room 1\, Newton Institute
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