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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Ribbon Graphs and Mirror Symmetry - Zaslow\, E (No
rthwestern)
DTSTART;TZID=Europe/London:20110413T163000
DTEND;TZID=Europe/London:20110413T173000
UID:TALK30764AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/30764
DESCRIPTION:Beginning with a ribbon graph with some extra stru
cture\, I will define a dg category\, the "constru
ctible plumbing model\," which serves as a stand-i
n for the Fukaya category of the Riemann surface a
ssociated to the ribbon graph. When the graph has
a combinatorial version of a torus fibration with
section\, I will define a one-dimensional algebrai
c curve\, and prove that the dg category of vector
bundles on the curve is equivalent to the constru
ctible plumbing model\, a version of homological m
irror symmetry in one-dimension. I will also discu
ss the higher-dimensional case. \n\nThis talk is b
ased on joint work with Nicolo' Sibilla and David
Treumann.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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