A Galois descent for inseparable field extensions..
Salle de Conférences
le 11 janvier 2019 à 14:00
Let L/K be a Galois separable field extension, then classical Galois descent theory describes algebraic objects over K, such as for example K-varieties, as being equivalent to algebraic objects over L endowed with a
-action which is
-linear. If L/K is not separable, though, such a theory does not apply for the simple reason that the field of
-invariants is strictly bigger than K. We will present how this inconvenient can be bypassed using the automorphism group of truncated polynomials over L and hence obtaining a Galois descent theory for inseparable extensions.