Homological mirror symmetry for weighted projective spaces
-- Wei-Dong Ruan

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Our work concerns the
homological mirror symmetry conjecture for Fano
varieties and Calabi-Yau manifolds proposed by Kontsevich in 1994 that predicts
the equivalence of the
derived category of coherent sheaves on the manifold and the Fukaya
category for the mirror. In this talk, we will mainly consider the case of
weighted projective space for all dimensions that was only proved
previously for dimension 2 case. We will prove the homological mirror
symmetry in this case through the category of constructible sheaves on the
complex side and the Fukaya-Oh Morse category on the symplectic side. We will 
also mention the case of Calabi-Yau manifolds.