BIMSA > Differential Geometry Seminar Some long time existence and convergence results on hypersymplectic flow
Some long time existence and convergence results on hypersymplectic flow
Organizers
Lynn Heller , Sebastian Heller , Kotaro Kawai
Speaker
Chengjian Yao
Time
Monday, May 13, 2024 10:00 AM - 11:00 AM
Venue
A3-4-301
Online
Zoom 815 762 8413 (BIMSA)
Abstract
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.