An introduction to Pillay’s differential Galois theory (part 1)

Model theory seminarKolchin seminar in Differential AlgebraFriday, September 16, 201610:15 amGC 5382

Reid Dale

An introduction to Pillay’s differential Galois theory (part 1)

University of California Berkeley

In a series of papers from the 1990s and early 2000s, Pillay used the machinery of model-theoretic binding groups to give a slick geometric account and generalization of Kolchin’s theory of strongly normal extensions and constrained cohomology. This series of two talks is intended to be expository, with its main goal being to introduce and frame the relevant model-theoretic notions of internality and binding groups within the context of differential algebra, as well as to go through Pillay’s argument that his generalized strongly normal extensions arise from logarithmic differential equations defined over algebraic D-groups.

Posted by on September 7th, 2016