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Collapsing of abelian fibred Calabi-Yaus and hyperkahler mirror symmetry

Presenter
November 1, 2011
SLMath
Keywords:
  • Shiing-Shen Chern
  • differential geometry
  • SYZ mirror symmetry
  • Calabi-Yau manifold
  • Ricci flatness
  • Kahler metric
  • fibrations
MSC:
  • 53D45
  • 53D42
  • 53D40
  • 53D37
  • 53Dxx
  • 53-xx
  • 32Q15
  • 32Q25
  • 32Q55
  • 32Qxx
  • 32-xx
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Abstract
We will address the problem of understanding the collapsing of Ricci-flat Kahler metric on abelian fibred projective Calabi-Yau manifolds. We will then explain an application of these results to the Strominger-Yau-Zaslow picture of mirror symmetry for some hyperkahler manifolds. Joint work with Mark Gross and Yuguang Zhang.
Abstract