Oberwolfach Reports

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Volume 10, Issue 2, 2013, pp. 1861–1913
DOI: 10.4171/OWR/2013/32

Published online: 2014-03-17

Algebraic K-theory and Motivic Cohomology

Thomas Geisser[1], Annette Huber-Klawitter[2], Uwe Jannsen[3] and Marc Levine[4]

(1) Rikkyo University, Tokyo, Japan
(2) Universität Freiburg, Germany
(3) Universität Regensburg, Germany
(4) Universität Duisburg-Essen, Germany

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.

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Geisser Thomas, Huber-Klawitter Annette, Jannsen Uwe, Levine Marc: Algebraic K-theory and Motivic Cohomology. Oberwolfach Rep. 10 (2013), 1861-1913. doi: 10.4171/OWR/2013/32