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FIELD Math: CMC
DATE March 15 (Fri), 2019
TIME 16:00-18:00
PLACE 8309
SPEAKER Li, Qifeng
HOST Hong, Jaehyun
INSTITUTE  
TITLE Fano deformation rigidity of rational homogeneous spaces
ABSTRACT

In this talk we discuss the question whether rational homogeneous spaces are rigid under Fano deformation. In other words, given any smooth connected family f:X -> Z of Fano manifolds, if one fiber is biholomorphic to a rational homogeneous space S, whether is f an S-fibration? The cases of Picard number one were studied in a series of papers by J.-M. Hwang and N. Mok. For higher Picard number cases, we notice that the Picard number of a rational homogeneous space G/P is less or equal to the rank of G. Recently A. Weber and J. A. Wisniewski proved that rational homogeneous spaces G/P with Picard numbers equal to the rank of G (i.e. complete flag manifolds) are rigid under Fano deformation. We will study the Fano deformation rigidity of G/P whose Picard number equals to rank G-1.

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