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Title:
Collapse and Special Holonomy Metrics
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Abstract:
The Gromov-Hausdorff topology provides a natural way to compactify the set of metrics with lower bounds on their Ricci curvature, in particular for Ricci-flat metrics (and therefore for special or exceptional holonomy metrics). Such Ricci-limit spaces need not be manifolds and a fundamental question that has attracted much attention is what one can say about the geometric structure of such limit spaces. In the non-collapsed case, i.e. when the limit space does not drop dimension, the theory is now very well developed, as will be described in Jeff Cheeger's talk.
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