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SUMMARY:Mirror symmetry without localization.   - Tom Coates\, Imperial Co
 llege
DTSTART:20140423T150000Z
DTEND:20140423T160000Z
UID:TALK51697@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:Mirror Symmetry predicts a surprising relationship between the
  virtual numbers of degree-d rational curves in a target space X and varia
 tions of Hodge structure on a different space X’\, called the mirror to 
 X.  Concretely\, it predicts that one can compute genus-zero Gromov–Witt
 en invariants (which are the virtual numbers of rational curves) in terms 
 of hypergeometric functions (which are the solutions to a differential equ
 ation that controls the variation of Hodge structure).  Existing proofs of
  this rely on beautiful but fearsomely complicated localization calculatio
 ns in equivariant cohomology.  I will describe a new proof of the Mirror T
 heorem\, for a broad range of target spaces X\, which is much simpler and 
 more conceptual. This is joint work with Cristina Manolache.
LOCATION:MR13
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