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CANCELLED Representation theoretic models for the algebraic K-theory of fields

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KAHW02 - Algebraic K-theory, motivic cohomology and motivic homotopy theory

Motivic cohomology provides the E_2-term of a spectral sequence converging to the algebraic K-theory of a field F.  It does not directly take into account the absolute Galois group of F.  It turns out that there is a geometric model for the algebraic K-theory of F, build out of the higher dimensional representations of its absolute Galois group.  I will discuss results, conjectures, and approaches.  This is joint work with Roy Joshua.



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