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Algebraic $$K$$-theory. Abstracts from the workshop held June 23–29, 2019. (English) Zbl 1439.00065
Summary: Algebraic $$K$$-theory has seen a fruitful development during the last three years. Part of this recent progress was driven by the use of $$\infty$$-categories and related techniques originally developed in algebraic topology. On the other hand we have seen continuing progress based on motivic homotopy theory which has been an important theme in relation to algebraic $$K$$-theory for twenty years.
##### MSC:
 00B05 Collections of abstracts of lectures 00B25 Proceedings of conferences of miscellaneous specific interest 19-06 Proceedings, conferences, collections, etc. pertaining to $$K$$-theory 19Axx Grothendieck groups and $$K_0$$ 19Exx $$K$$-theory in geometry 19Fxx $$K$$-theory in number theory 14-06 Proceedings, conferences, collections, etc. pertaining to algebraic geometry 14F42 Motivic cohomology; motivic homotopy theory 14C35 Applications of methods of algebraic $$K$$-theory in algebraic geometry
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##### References:
 [1] Fabien Morel,On the motivicπ0of the sphere spectrum, Axiomatic, enriched and motivic homotopy theory, NATO Sci. Ser. II Math. Phys. Chem., vol. 131, Kluwer Acad. Publ., Dordrecht, 2004, pp. 219-260. MR 2061856 (2005e:19002) · Zbl 1130.14019 [2] Oliver R¨ondigs, Markus Spitzweck, and Paul Østvær,The first stable homotopy groups of motivic spheres, Ann. · Zbl 1406.14018
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