## Algebraic K-theory and Motivic Cohomology

 dc.date.accessioned 2019-10-24T15:19:24Z dc.date.available 2019-10-24T15:19:24Z dc.date.issued 2016 dc.identifier.uri http://publications.mfo.de/handle/mfo/3535 dc.description.abstract Algebraic $K$-theory and motivic cohomology have developed together over the last thirty years. Both of these theories rely on a mix of algebraic geometry and homotopy theory for their construction and development, and both have had particularly fruitful applications to problems of algebraic geometry, number theory and quadratic forms. The homotopy-theory aspect has been expanded significantly in recent years with the development of motivic homotopy theory and triangulated categories of motives, and $K$-theory has provided a guiding light for the development of non-homotopy invariant theories. 19 one-hour talks presented a wide range of latest results on many aspects of the theory and its applications. dc.title Algebraic K-theory and Motivic Cohomology dc.identifier.doi 10.14760/OWR-2016-31 local.series.id OWR-2016-31 local.subject.msc 14 local.subject.msc 19 local.sortindex 975 local.date-range 26 Jun - 02 Jul 2016 local.workshopcode 1626 local.workshoptitle Algebraic K-theory and Motivic Cohomology local.organizers Thomas Geisser, Tokyo; Annette Huber-Klawitter, Freiburg; Uwe Jannsen, Regensburg; Marc Levine, Essen local.report-name Workshop Report 2016,31 local.opc-photo-id 1626 local.publishers-doi 10.4171/OWR/2016/31 local.ems-reference Geisser Thomas, Huber-Klawitter Annette, Jannsen Uwe, Levine Marc: Algebraic K-theory and Motivic Cohomology. Oberwolfach Rep. 13 (2016), 1753-1807. doi: 10.4171/OWR/2016/31
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