Classification of strongly normal extensions of a differential field, and related issues
Notre Dame University
The material is taken from a joint paper with M. Kamensky, “Interpretations and differential Galois extensions.” Given a differential field K with field of constants k, and a logarithmic differential equation over K, the strongly normal extensions of K for the equation correspond (up to isomorphism over K) with the connected components of G(k) where G is the Galois groupoid of the equation. This generalizes to other contexts (parameterized theory,….), and is also the main tool in existence theorems for strongly normal extensions with prescribed properties.
This is a joint event of the CUNY Logic Workshop and the Kolchin Seminar in Differential Algebra, as part of a KSDA weekend workshop.