Algebraic K-theory and Motivic Cohomology

  • Thomas Geisser

    Rikkyo University, Tokyo, Japan
  • Annette Huber-Klawitter

    Universität Freiburg, Germany
  • Uwe Jannsen

    Universität Regensburg, Germany
  • M. Levine

    Universität Duisburg-Essen, Germany
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Algebraic -theory and motivic cohomology have developed together over the last thirty years. Both of these theories rely on a mix of algebraic geometry and homotopy theory for their construction and development, and both have had particularly fruitful applications to problems of algebraic geometry, number theory and quadratic forms. The homotopy-theory aspect has been expanded significantly in recent years with the development of motivic homotopy theory and triangulated categories of motives, and -theory has provided a guiding light for the development of non-homotopy invariant theories. 19 one-hour talks presented a wide range of latest results on many aspects of the theory and its applications.

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Thomas Geisser, Annette Huber-Klawitter, Uwe Jannsen, M. Levine, Algebraic K-theory and Motivic Cohomology. Oberwolfach Rep. 13 (2016), no. 2, pp. 1753–1807

DOI 10.4171/OWR/2016/31