[Colloquium] New Module of Geometric Literacy

[Meridel Trimble]

There will be a new module of Geometric Literacy starting on Monday, November 
3rd. The module should go for 2 weeks.

Times: MW 1:30-2:50
Place: E206
 
Title: Computing the Homology of a Submanifold from Sampling Points
 
Speaker: Steve Smale (Toyota Tech. Inst., Univ. of Chicago)

Abstract: The starting point of this module is a result proved recently with 
Partha Niyogi and Shmuel Weinberger, that by choosing a finite number of points 
at random from a compact submanifold M of Euclidean space, one can determine 
exactly its homology with high probability. One is able to estimate the number 
of points needed in terms of an invariant we call the condition number of the 
submanifold.  A motivation of this study is the analysis of rich data.

For further information, please e-mail Benson Farb at farb at math.uchicago.edu