Friday, September 16, 201612:30 pmModel theory seminarKolchin seminar in Differential AlgebraGC 6417

An introduction to Pillay’s differential Galois theory (part 2)

Reid Dale

University of California Berkeley

Reid Dale

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.