Matt Devilbiss : Generic Differential Equations are Strongly Minimal

Posted by James Freitag , part of the Logic Seminar.

At

Aug. 31, 2021, 4 p.m.

In

636 SEO

Abstract

In this talk, I will outline a new technique for showing that nonlinear algebraic differential equations are strongly minimal. This is used to prove the strong minimality of generic differential equations with sufficiently large degree, answering a question of Poizat (1980). Time permitting, I will also discuss ongoing work in applying this method to differential equations of interest whose coefficients are not generic. This is joint work with James Freitag.