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Skye 284

Dr. Rafe Mazzeo, Stanford

Gravitational instantons are some of the simplest Riemannian manifolds with special holonomy: they are noncompact, Ricci flat, hyperkähler four-manifolds. There is now a scheme for classifying all of them which is well underway. Many of these spaces arise as moduli spaces of solutions to certain gauge-theoretic equations. A proposal known as Boalch’s modularity conjecture suggests that they all arise in this way.

I will describe this area and set of problems in general terms, and conclude by mentioning some recent progress on this by various different groups of researchers.

Type
Colloquium
Target Audience
General Public
Admission
Free
Registration Required
No
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