6 jul 2016 -- 15:00
Aula3, Dipartimento di Matematica, Università di Torino
Abstract.
A key challenge in Riemannian geometry is to find Ricci-flat metrics on compact manifolds. 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 G2. I will describe recent progress on a proposed geometric flow method for finding metrics with holonomy G2, called the Laplacian flow. This is joint work with Yong Wei.