Non-commutative Geometry VI - Riemannian Geometry of Ultrametric Cantor Sets

Series: 
Geometry Topology Working Seminar
Friday, December 10, 2010 - 14:00
2 hours
Location: 
Skiles 171
,  
Ga Tech
Organizer: 

Note this is a two hour seminar.

In this lecture the analog of Riemannian manifold will be introduced through the notion of spectral triple. The recent work on the case of a metric Cantor set, endowed with an ultrametric, will be described in detail during this lecture. An analog of the Laplace Beltrami operator for a metric Cantor set will be defined and studied.