Algebraic -Theory and Motivic Cohomology

  • Thomas Geisser

    University of Southern California, Los Angeles, USA
  • Annette Huber-Klawitter

    Universität Freiburg, Germany
  • Uwe Jannsen

    Universität Regensburg, Germany
  • Marc Levine

    Northeastern University, Boston, USA

Abstract

Algebraic -theory and the related motivic cohomology are a systematic way of producing invariants for algebraic or geometric structures. Its definition and methods are taken from algebraic topology, but it has also proved particularly fruitful for problems of algebraic geometry, number theory or quadratic forms. 19 one-hour talks presented a wide range of results on -theory itself and applications. We had a lively evening session trading questions and discussing open problems.

Cite this article

Thomas Geisser, Annette Huber-Klawitter, Uwe Jannsen, Marc Levine, Algebraic -Theory and Motivic Cohomology. Oberwolfach Rep. 6 (2009), no. 2, pp. 1731–1774

DOI 10.4171/OWR/2009/31