Joe Waldron : Purely inseparable Galois theory

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

Nov. 7, 2022, 3 p.m.

In

636 SEO

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.