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Oberseminar WiSe 12/13 Zusammenfassung des Vortrags von Atsushi Takahashi

From Calabi-Yau dg categories to Frobenius manifolds via primitive forms: a work in progress

It is one of most important problems to construct functorially a Frobenius
 manifold from a Calabi-Yau dg categories.
  This is because the homological mirror symmetry will imply the classical
  one, the isomorphism of Frobenius manifolds between the one from
  Gromov-Witten theory and the one from the deformation theory.

 In this talk, we will give an approach to this problem based on the theory
  of primitive forms. Under a formality assumption, we shall show the
  existence of a ``good basis" which is the first step in the construction
  of primitive forms.