The Laplacian flow in G_2 geometry


报告题目The Laplacian flow in G_2 geometry


报告人: Professor Jason Lotay (University College London)






摘要: A key challenge in Riemannian geometry is to find Ricci-flat metrics on compact manifolds, which has led to fundamental breakthroughs, particularly using geometric analysis methods. All non-trivial examples of such metrics have special holonomy, and the only special holonomy metrics which can occur in odd dimensions must be in dimension 7 and have holonomy  G_2.  I will describe recent progress on a proposed geometric flow method for finding metrics with holonomy G_2, called the Laplacian flow.  This is joint work with Dr Yong Wei.