11/11/2015 - 16:00

11/11/2015 - 17:00

Speaker:

Jason Lotay (University College London)

Location:

PK-5115, Pavillon PrĂ©sident-Kennedy, UQAM

Abstract:

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, introduced by Bryant, for finding metrics with holonomy G_2.

This is joint work with Yong Wei.