Talk page
Title:
Quadratic closed G2-structures
Speaker:
Abstract:
I will talk about a special class of closed G_2-structures, those satisfying the ‘quadratic’ condition. This is a second order PDE system first written down by Bryant that can be interpreted as a condition on the Ricci curvature of the induced metric, and that generalises the extremally Ricci-pinched (ERP) condition. I will talk about various constructions of quadratic closed G_2-structures, including the first examples of ERP closed G_2-structures that are not locally homogeneous and the first examples of quadratic closed G_2-structures that are not ERP. If time permits, I will discuss the relationship with the Laplace flow and give new examples of Laplace solitons.
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