Ultrametric Cantor Sets as Riemannian Manifolds

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Presentation Name：	Ultrametric Cantor Sets as Riemannian Manifolds
Presenter🥦：	Jean Bellissard 教授
Date：	2011-06-15
Location：	光华东主楼1801
Abstract♋️：	A combinatorial description of ultrametric on the Cantor set will be described using the Michon graph. Through a spectral triple, the metric can be thought of giving a Riemannian structure on the Cantor set. Properties of this spectral triple will be described. The analog of the Laplace Beltrami Operator will be constructed and studied. Extension to compact metric spaces will be investigated.
Annual Speech Directory：	No.72

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