Neer Bhardwaj : On the Pila-Wilkie theorem

Posted by James Freitag , part of the Logic Seminar.

At

Oct. 19, 2021, 4 p.m.

In

636 SEO

Abstract

I’ll give an account of the Pila-Wilkie counting theorem and some of its extensions and generalizations. We exploit semialgebraic cell decomposition more thoroughly to simplify the deduction from the main ingredients of the original proof. Only very basic knowledge of o-minimality will be assumed; this is joint work with Prof. Lou van den Dries.