by Markus Rost (11 slides)
Slides for the talk at the Hermann Weyl Conference, 10-13. September 2006, Bielefeld
Abstract: The Bloch-Kato conjecture describes the (mod p) Galois cohomology ring of a field. The current approach to this conjecture relies on work of Voevodsky and certain norm functions. The construction of these functions is motivated by norm functions related with algebraic groups like PGL_p, G_2, F_4, E_6 and by Pfister forms. For the multiplicativity of the general norm functions one uses certain correspondences which are obtained from Steenrod operations in motivic cohomology.
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