Morningside Center of Mathematics

Chinese Academy of Sciences

中国科学院晨兴数学中心

Morningside Center of Mathematics

Chinese Academy of Sciences

Title: | Fano deformation rigidity of rational homogeneous spaces of submaximal Picard numbers |

Speaker: | Qifeng Li (KIAS) |

Time: | 2018-12-12, 9:30—10:30 |

Place: | N913 |

Abstract: | A Fano manifold is said to be rigid under Fano deformation if any deformation of it, which is also a Fano manifold, must be biholomorphic to itself. The deformation rigidity property of rational homogeneous spaces are get attentions since the series works of J.-M. Hwang and N. Mok on Picard number one cases (whose Kahler deformations are automatically Fano manifolds). Fano deformation rigidity of rational homogeneous spaces becomes more interesting since counterexamples of small Picard numbers are found. Recently A. Weber and J. A. Wisniewski proved that rational homogeneous spaces with maximal Picard numbers(i.e. complete flag manifolds) are rigid under Fano deformation. In this talk, I will present a program to verify the Fano deformation rigidity of a homogeneous space via that property of homogeneous submanifolds. Then the Fano deformation rigidity of rational homogeneous spaces of submaximal Picard numbers will be checked. |

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