Logic Seminar
Serge Randriambololona
University of Notre Dame
O-minimal structures and Hardy fields
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.
Tuesday November 18, 2008 at 4:00 PM in SEO 612