Oberwolfach Reports

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Volume 6, Issue 2, 2009, pp. 1731–1774
DOI: 10.4171/OWR/2009/31

Published online: 2009-12-23

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 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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Geisser Thomas, Huber-Klawitter Annette, Jannsen Uwe, Levine Marc: Algebraic K-Theory and Motivic Cohomology. Oberwolfach Rep. 6 (2009), 1731-1774. doi: 10.4171/OWR/2009/31