Galois cohomology of Henselian discrete valuation fields, after K. Kato and S. Bloch (Q2708719)

This is a good review of central ideas of the proof of a theorem of Bloch, Kato and Gabber on the differential symbol [see \textit{S. Bloch} and \textit{K. Kato}, Publ. Math., Int. Hautes Étud. Sci. 63, 107-152 (1986; Zbl 0613.14017)] and a theorem of Bloch and Kato on the norm residue symbol for Henselian discrete valuation fields with residue field of positive characteristic. These theorems are important among other things for higher local class field theory. For another review written in English see [\textit{O. Izhboldin}, Geom. Topol. Monogr. 3, 19-29 (2000; Zbl 1008.11052)] and [\textit{J. Nakamura}, ibid. 3, 43-51 (2000; Zbl 1008.11067)].NEWLINENEWLINEFor the entire collection see [Zbl 0949.00018].