Séminaire Théorie des nombres

p-extensions of local fields with Galois groups of nilpotent class <p

par Victor Abrashkin (Université de Durham)

Europe/Paris
XR.202 (Bâtiment XLIM)

XR.202

Bâtiment XLIM

Description
Nilpotent Artin-Schreier theory allows to identify the Galois groups of extensions from the title with groups associated with Lie algebras via the Campbell-Hausdorff group law. Earlier the author applied this construction to describe the ramification subgroups in the characteristic $p$ case. In this talk we discuss the case of local fields of mixed characteristic.