Logic Seminar
William Simmons
UIC
Jet Spaces
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.
Tuesday May 4, 2010 at 4:00 PM in SEO 612