The André-Oort conjecture via o-minimality

Abstract

The purpose of this article is to explain the Pila-Zannier strategy for proving the André-Oort conjecture. First, however, we will provide a brief introduction to the theory of Shimura varieties.

arXiv commentPreprint, to appear in the forthcoming LMS Lecture Note series, O-Minimality and Diophantine Geometry, published by Cambridge Univeristy Press. Originating from a short LMS-EPSRC course held at the Univeristy of Manchester