Algebraic Geometry Seminar
Joe Waldron
Michigan State University
Purely inseparable Galois theory
Abstract: Given a field K of characteristic p, a classical result of Jacobson provides a Galois correspondence between finite purely inseparable subfields of K of exponent one (i.e. those which contain K^p), and sub-restricted Lie algebras of Der(K). I will discuss joint work with Lukas Brantner in which we extend this Galois correspondence to subfields of arbitrary exponent using methods from derived algebraic geometry.
Monday November 7, 2022 at 3:00 PM in 636 SEO