Motivic Homotopy Theory

Lectures at a Summer School in Nordfjordeid, Norway, August 2002

Häftad, Engelska, 2006

Av Bjorn Ian Dundas, Marc Levine, P.A. Østvær, Oliver Röndigs, Vladimir Voevodsky, P. A. Østvær, Björn Jahren

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This book is based on lectures given at a summer school on motivic homotopy theory at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002. Aimed at graduate students in algebraic topology and algebraic geometry, it contains background material from both of these fields, as well as the foundations of motivic homotopy theory. It will serve as a good introduction as well as a convenient reference for a broad group of mathematicians to this important and fascinating new subject. Vladimir Voevodsky is one of the founders of the theory and received the Fields medal for his work, and the other authors have all done important work in the subject.

Produktinformation

Utgivningsdatum2006-11-20
Mått155 x 235 x 13 mm
Vikt365 g
FormatHäftad
SpråkEngelska
SerieUniversitext
Antal sidor226
Upplaga2007
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540458951

Tillhör följande kategorier

Prerequisites in Algebraic Topology the Nordfjordeid Summer School on Motivic Homotopy Theory.- Basic Properties and Examples.- Deeper Structure: Simplicial Sets.- Model Categories.- Motivic Spaces and Spectra.- Background from Algebraic Geometry.- Elementary Algebraic Geometry.- Sheaves for a Grothendieck Topology.- Voevodsky’s Nordfjordeid Lectures: Motivic Homotopy Theory.- Voevodsky’s Nordfjordeid Lectures: Motivic Homotopy Theory.

From the reviews:"This research monograph on motivic homotopy theory contains material based on lectures at a summer school at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002. With a similar scope as the summer school it is aimed at graduate students and researchers in algebraic topology and algebraic geometry. … They provide an excellent introduction as well as a convenient reference for anybody who wants to learn more about this important and fascinating new subject." (Frank Neumann, Mathematical Reviews, Issue 2008 k)