数学科学研究所
Insitute of Mathematical Science

Hypersymplectic Flow on 4-manifold

Time:10:30-11:30, Nov. 16 2018, Friday

LocationRoom 302,  Library


Speaker: Chengjian Yao, IMS, ShanghaiTech University


Abstract: Hypersymplectic structure is a triple of symplectic structures on 4-manifold such that any of their linear combinations is a symplectic structure. It is one subclass of symplectic Calabi-Yau four manifold and is conjectured to be deformable to a hyperKahler structure and thus diffeomorphic to the later by Donaldson. We will describe one geometric flow aiming at deforming a given hypersymplectic structure in its cohomology class to a hyperKahler structure, and will talk about some partial results. Part of this is joint work with Joel Fine. 



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