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Some long time existence and convergence results on hypersymplectic flow

组织者

杨琳 , 塞巴斯蒂安·赫勒 , 河井公大朗

演讲者

Chengjian Yao

时间

2024年05月13日 10:00 至 11:00

地点

A3-4-301

线上

Zoom 815 762 8413 (BIMSA)

摘要

Hypersymplectic structure on a 4-manifold is a triple of symplectic forms such that any nontrivial linear combination of them is symplectic. The hypersymplectic flow is a natural geometric flow designed with the goal of deforming one given hypersymplectic structure in its cohomology class to a hyperKähler structure. This flow also has close relation with Bryant’s G_2-Laplacian flow on 7-manifold. In this talk, we will present some long time existence and convergence results about the flow, and in particular one recent convergence result on 4-torus proved together with Joel Fine and Weiyong He.