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X-WR-CALNAME:Eric Zaslow: \"T-Duality and the Coherent-Constructible Cor
 respondence\" 
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TZID:America/New_York
LAST-MODIFIED:20090428T203440Z
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DTSTART:20091101T020000
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DURATION:PT1H
LOCATION:Math 520\, Columbia University
DTSTAMP:20090428T203437Z
UID:7828ECC9-4FA6-42C7-AE36-1DA17976D9D7
SEQUENCE:9
URL;VALUE=URI:http://math.columbia.edu/~lipshitz/SGGT/
DTSTART;TZID=America/New_York:20090501T131000
SUMMARY:Eric Zaslow: \"T-Duality and the Coherent-Constructible Correspo
 ndence\" 
DESCRIPTION:Abstract: I will describe a triangle of equivalences between
  three categories: a) coherent sheaves on a toric variety\; b) a Fukaya 
 category of Lagrangian submanifolds of a symplectic vector space\; and c
 ) a category of constructible sheaves on a real vector space. The catego
 ries (a)\, (b)\, and (c) are the vertices of the triangle. The edge (ab)
  can be thought of as T-duality\; (bc) can be thought of as microlocaliz
 ation\; and (ac) is the coherent-constructible correspondence. The edges
  are based on work of many authors\, including (but not limited to) join
 t work with Nadler (bc) and Fang\, Liu and Treumann (ac).\n\nTo be concr
 ete\, the edge (ac) is based on the familiar assignment of a polytope to
  an ample line bundle on a toric variety -- e.g.\, the hyperplane bundle
  on projective n-space gives a primitive simplex in n dimensions.
ORGANIZER;CN="Robert Lipshitz":mailto:lipshitz@math.stanford.edu
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