Speaker : Professor Sheng Rao (Wuhan University)
Title : Power series proofs for local stabilities of and balanced structures with mild -lemma
Time : 2017-01-20 (Fri) 10:30 -
Place : Seminar Room 617, Institute of Mathematics (NTU Campus)
Abstract: By use of a natural map introduced recently by Quanting Zhao and the speaker from the space of pure-type complex differential forms on a complex manifold to the corresponding one on the small differentiable deformation of this manifold, we will give a power series proof for Kodaira-Spencer's local stability theorem of structures. We also obtain two new local stability theorems, one of balanced structures on an -dimensional balanced manifold with the -th mild -lemma by power series method and the other one on - structures with the deformation invariance of -Bott-Chern numbers. This talk is based on a recent work arXiv: 1609.05637v1 joint with Xueyuan Wan and Quanting Zhao.