  This work sketches the author classification of complete discrete valuation
fields K of characteristic 0 with residue field of characteristic p into two
classes depending on the behaviour of the torsion part of a differential
module. For each of these classes, the quotient filtration of the Milnor
K-groups of K is characterized for all sufficiently large members of the
filtration, as a quotient of differential modules. For a higher local field the
previous result and higher local class field theory imply certain restrictions
on types of cyclic extensions of the field of sufficiently large degree.
