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SUMMARY:Towards mirror symmetry for varieties of general type - Helge Rudd
 at  (Mainz)
DTSTART:20120118T141500Z
DTEND:20120118T151500Z
UID:TALK34572@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:Assuming the natural compactification X of a hypersurface in a
 n affine algebraic torus is smooth\, it can exhibit any Kodaira dimension 
 depending on the size and shape of the Newton polyhedron of X. In a joint 
 work with Mark Gross and Ludmil Katzarkov\, we give a construction for the
  expected mirror symmetry partner of a complete intersection X in a toric 
 variety which works for any Kodaira dimension of X. The mirror dual might 
 be   reducible and is equipped with a sheaf of vanishing cycles. We give e
 vidence for the duality by proving the symmetry of the Hodge numbers when 
 X is a hypersurface. The leading example will be the mirror of a genus two
  curve. If time permits\, I will explain relations to homological mirror s
 ymmetry and the Gross-Siebert construction. \n
LOCATION:MR4\, CMS
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