Ricci flat spaces and metrics with special or exceptional holonomy II
Ricci curvature lower bounds
exceptional Lie algebras and groups
Dynkin diagram classification
convergence of metric spaces
To this day the only compact irreducible complete Ricci-flat Riemannian metrics arise as manifolds with special or exceptional holonomy. This pair of talks will give an introduction to special and exceptional holonomy metrics and the resulting constructions of both compact and noncompact Ricci-flat manifolds. We will indicate how ideas from Riemannian convergence theory have provided motivation for the currently known (and possibly for future) constructions of metrics with exceptional holonomy
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