Talk page
Title:
G_2 conifolds: desingularization, deformation, and construction?
Speaker:
Abstract:
G_2 “manifolds” with singularities are supposed to play an important role in M-theory. Cone-like singularities are the simplest type to consider. I will introduce G_2 cones and discuss the interesting geometry of their links: strictly nearly Kahler 6-manifolds. Then I will discuss G_2 conifolds: both the asymptotically conical (AC) version, with explicit examples being the Bryant-Salamon manifolds, as well as the conically singular (CS) version, of which there currently exist no examples. I will then give a survey of results on G_2 conifolds: desingularization (K-, 2008), deformation theory (K-Lotay, 2014), and possible constructions of CS G_2 conifolds (K-Lotay, 2016?).
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Workshop: