Ricci flat spaces and metrics with special or exceptional holonomy II
Introductory Workshop: Modern Riemannian Geometry January 18, 2016 - January 22, 2016
Location: SLMath:
differential geometry
Riemannian geometry
modern geometry
curvature
curvature estimates
Ricci curvature
Ricci curvature lower bounds
holonomy
exceptional Lie algebras and groups
Dynkin diagram classification
convergence of metric spaces
Ricci flatness
14431
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
14431
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