Classification of strongly normal extensions of a differential field, and related issues

Kolchin seminar in Differential AlgebraCUNY Logic WorkshopFriday, April 8, 20162:00 pmGC 6417

Anand Pillay

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.

Posted by on February 29th, 2016