Oberwolfach Reports


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

Algebraic K-Theory and Motivic Cohomology

Organized by: Thomas Geisser (1), Annette Huber (2), Uwe Jannsen (3) and Marc Levine (4)

(1) Department of Mathematics, University of Southern California, KAP 108 , 3620 Vermont Av., CA 90089-2532, LOS ANGELES, UNITED STATES
(2) Mathematisches Institut, Universität Freiburg, Eckerstr. 1, 79104, FREIBURG, GERMANY
(3) Fakultät für Mathematik, Universität Regensburg, Universitätsstr. 31, 93053, REGENSBURG, GERMANY
(4) Department of Mathematics, Northeastern University, 567 Lake Hall, MA 02115-5000, BOSTON, UNITED STATES

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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