Louise Hay Logic Seminar
Tori Noquez
UIC
The Pila-Wilkie Theorem
Abstract: We will go over the proof of the main theorem in Pila and Wilkie's 2006 paper The Rational Points of a Definable Set.
It says that for $X$, a subset of $\mathbb R^n$, which is definable in an o-minimal expansion of $\mathbb R$, there are (in a suitable sense) very few rational points of $X$ which do not lie on some connected semialgebraic subset of $X$ of positive dimension.
Thursday October 4, 2012 at 3:00 PM in SEO 427