Date: Wednesday, October 06, 2021
Location: 4096 East Hall (4:15 PM to 5:30 PM)
Title: 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 exponent one (those with $K^p\subset L\subset K$), and subrestricted Lie algebras of $\mathrm{Der}(K)$. 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.
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Speaker: Joe Waldron
Institution: MSU
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