Anand Pillay : Differential algebra and generalizations of Grothendieck's conjecture on the arithmetic of linear differential equations

Posted by Matthias Aschenbrenner , part of the Logic Seminar.

At

Oct. 18, 2005, 4 p.m.

In

SEO 427

Abstract

Influenced by work of Chatzidakis-Hrushovski asnd using results of Bost, we show that the Grothendieck- Katz conjecture is equivalent to a certain nonlinear generalization (introduced by Ekedahl et al) modulo a differential-algebraic statement concerning "nonorthogonality to the constants".