APPLIED MATH SEMINAR

Name:  Charles Steinhorn, Vassar

Title:     Linear orders in o-minimal structures with an application to the theory of utility and preference in economics

When/where:    Tuesday, December 9, 4:15 p.m., AKW 200.

Abstract:        
The talk begins with a brief introduction for a general audience to

o-minimal structures expanding the order field of real numbers.

Following this, we describe some work with A. Onshuus, which in

particular provides an analysis of linear orders definable (in the sense

of first-order logic) in o-minimal structures.



This analysis appears to have an interesting application in mathematical

economics to the theory of utility and preference. This last is joint

work with T. Brihaye, C. Michaux, and Onshuus.