Graduate Student Colloquium
Matt Wechter
UIC
Galois Theories and Differential Algebra
Abstract: The Fundamental Theorem of Galois Theory gives correspondences
between intermediate subfields of a Galois (separable, splitting)
extension and subgroups of automorphisms. I will talk about Jacobson
Galois Theory detailing similar correspondences for purely inseparable
field extensions of exponent one. Further, I will describe more recent
Galois-type correspondences for purely inseparable fields of higher
exponent and my attempts to bridge the two approaches using differential
algebra.
This talk is intended to be accessible to graduate students of all levels; no technical knowledge of differential algebra is expected.
Monday April 16, 2012 at 4:15 PM in SEO 636