William Simmons : Jet Spaces

Posted by , part of the Logic Seminar.

At

May 4, 2010, 4 p.m.

In

SEO 612

Abstract

Hrushovski's proof of the Mordell-Lang Conjecture for function fields uses hard results about Zariski geometries. Pillay and Ziegler developed a simpler method employing differential jet spaces that implies the result Hrushovski needs in characteristic zero. I describe Pillay and Ziegler's setting and sketch several proofs (e.g., of the Zilber dichotomy for differentially closed fields).

seminar begins with tea.