Slices of hermitian K-theory and Milnor's conjecture on quadratic forms

30 May 2017  ·  Röndigs Oliver, Østvær Paul Arne ·

We advance the understanding of K-theory of quadratic forms by computing the slices of the motivic spectra representing hermitian K-groups and Witt-groups. By an explicit computation of the slice spectral sequence for higher Witt-theory, we prove Milnor's conjecture relating Galois cohomology to quadratic forms via the filtration of the Witt ring by its fundamental ideal... In a related computation we express hermitian K-groups in terms of motivic cohomology. read more

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K-Theory and Homology Algebraic Geometry Algebraic Topology