Model Theory Working Seminar

Jenny Xu, Department of Pure Mathematics, University of Waterloo

"An Invitation to Model-Theoretic Galois Theory (Part II)"

In Alice Medvedev and Ramin Takloo-Bighash’s paper ”An Invitation to Model-Theoretic
Galois Theory”, the Galois correspondence is revisited in the context of an arbitrary first-order
theory T. The ambient field will instead be a κ-saturated model of T, which we call M, and
the subfields will be the definably-closed subsets of M. We will discuss the definitions and
results analogous to the usual field-theoretic ones in this model-theoretic setting.

MC 5417