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(Dec. 11) Deformation of Fano Manifolds

Last updated :2018-12-06

Topic: Deformation of Fano Manifolds
Speaker: Professor Huai-Dong Cao
(Lehigh University)
Time: 16:00-17:00, Tuesday, December 11, 2018
Venue: Room 416, New Mathematics Building, Guangzhou South Campus, SYSU

Abstract:
A theorem of Koiso in early 1980's states that if a Fano Kahler-Einstein manifold X does not admit any nontrivial holomorphic vector field then each small deformation of X also admits a Kahler-Einstein metric. In this talk, I shall present a new necessary and sufficient condition on the existence of Kahler-Einstein metrics on small deformations of a Fano KE manifold with nontrivial automorphism group. This is a joint work with Xiaofeng Sun, S.-T. Yau, and Yingying Zhang.