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

Series
Geometry Topology Working Seminar
Time
Friday, December 10, 2010 - 2:00pm for 2 hours
Location
Skiles 171
Speaker
Jean Bellissard – Ga Tech
Organizer
John Etnyre

Please Note: 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.