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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, Marc Levine, Annette Huber-Klawitter, Uwe Jannsen, Algebraic <em>K</em>-Theory and Motivic Cohomology. Oberwolfach Rep. 6 (2009), no. 2, pp. 1731–1774DOI 10.4171/OWR/2009/31