Algebraic \(K\)-theory and motivic cohomology. Abstracts from the workshop held June 26 -- July 2, 2016
type: Item
instance of: scholarly article
title: Algebraic \(K\)-theory and motivic cohomology. Abstracts from the workshop held June 26 -- July 2, 2016
zbMATH Open document ID: 1380.00079
DOI: 10.4171/OWR/2016/31
published in: Oberwolfach Reports
publication date: 2018-02-21T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 00B05
Mathematics Subject Classification ID: 00B25
Mathematics Subject Classification ID: 14C15
Mathematics Subject Classification ID: 14F42
Mathematics Subject Classification ID: 19Axx
Mathematics Subject Classification ID: 19Exx
Mathematics Subject Classification ID: 19Fxx
Mathematics Subject Classification ID: 14-06
Mathematics Subject Classification ID: 19-06
zbMATH DE Number: 6841696
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/owr/2016/31
OpenAlex ID: W4237047646
description: scientific article; zbMATH DE number 6841696