Serge Randriambololona : O-minimal structures and Hardy fields

Posted by , part of the Logic Seminar.

At

Nov. 18, 2008, 4 p.m.

In

SEO 612

Abstract

To each o-minimal expansion of a (real closed) field, one can associate the set of germs at infinity of its unary functions, which form a Hardy field. Valuational properties of these Hardy fields give good information about the initial structure. Motivated by a conjecture of van den Dries and a result of F.-V. and S. Kuhlmann, I will discuss whether an o-minimal expansions of the field of the reals is, in general, fully determined by its associated Hardy field.

seminar begins with tea.