Arithmetic Study Group: p-extensions of local fields with Galois groups of nilpotent class
6 December 2016 14:00 in CM301
Most general facts about Galois groups of local fields were obtained in 1960's.
They include a functorial description of maximal abelian quotients (local class field theory) and
information about the numbers of generators and relations in the case of maximal p-extensions.
In the talk it will be explained a further progress in this area based on a generalization of classical
Artin-Schreier theory of cyclic p-extensions.