Algebraic $K$-Theory and Motivic Cohomology

Thomas Geisser; Annette Huber-Klawitter; Uwe Jannsen; Marc Levine

doi:10.4171/owr/2009/31

JournalsowrVol. 6, No. 2pp. 1731–1774

Algebraic $K$ -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

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Abstract

Algebraic $K$ -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 $K$ -theory itself and applications. We had a lively evening session trading questions and discussing open problems.

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

DOI 10.4171/OWR/2009/31