Galois extensions in motivic homotopy theory

Galois extensions of ring spectra in classical homotopy theory were introduced by Rognes.
In this talk I will discuss a general formal framework to study homotopical Galois extensions and
concentrate on the applications to motivic homotopy theory. I will discuss several examples of
homotopical Galois extensions in motivic setting comparing them to the ones known from classical
homotopy theory.

This is a joint project with Agnès Beaudry, Kathryn Hess, Mona Merling and Vesna Stojanoska.