JournalsowrVol. 10, No. 2pp. 1861–1913

Algebraic K-theory and Motivic Cohomology

  • Thomas Geisser

    Rikkyo University, Tokyo, Japan
  • Annette Huber-Klawitter

    Universität Freiburg, Germany
  • Uwe Jannsen

    Universität Regensburg, Germany
  • Marc Levine

    Universität Duisburg-Essen, Germany
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Abstract

Algebraic K-theory and motivic cohomology are strongly related tools providing a systematic way of producing invariants for algebraic or geometric structures. The definition and methods are taken from algebraic topology, but there have been particularly fruitful applications to problems of algebraic geometry, number theory or quadratic forms. 19 one-hour talks presented a wide range of latest results on the theory and its applications.

Cite this article

Thomas Geisser, Annette Huber-Klawitter, Uwe Jannsen, Marc Levine, Algebraic K-theory and Motivic Cohomology. Oberwolfach Rep. 10 (2013), no. 2, pp. 1861–1913

DOI 10.4171/OWR/2013/32