Louise Hay Logic Seminar
David Meretzky
Universidad de los Andes
An overview of model-theoretic differential Galois theory
Abstract: This talk will give an overview of the Picard-Vessiot differential Galois theory beginning with Liouville's theorem on integration in finite terms and ending with the contemporary state of the theory and it's generalizations. Differential Galois theory was conceived of by Sophus Lie as being a differential analogue of the theory of Galois. The main theorem of it's first iteration (work of Picard and Vessiot in the 1890s) is an analogue of the theorem on solvability by radicals. Developments in early 20th century mathematics allowed Ellis Kolchin to give a fully algebraic account of the Picard-Vessiot theory. We will survey the work of the Kolchin school and describe closely related model-theoretic perspectives and generalizations. Time permitting, we will discuss connections to other schools of differential Galois theory and applications.
Here is the link of the meeting:
https://uic.zoom.us/j/85658768795?pwd=wabJfCRny3antszOPQaeuNtEPyYdIw.1
Wednesday November 12, 2025 at 4:00 PM in Zoom