Bjorn Ian Dundas, Marc Levine, P.A. Østvær

Motivic Homotopy Theory

Lectures at a Summer School in Nordfjordeid, Norway, August 2002
Herausgegeben:Jahren, Björn

• Broschiertes Buch

Produktbeschreibung

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. Vladimir Voevodsky is one of the founders of the theory and received the Fields medal for his work.

Produktdetails

• Universitext
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 11776307, 978-3-540-45895-1
• 2007
• Seitenzahl: 236
• Erscheinungstermin: 20. November 2006
• Englisch
• Abmessung: 235mm x 155mm x 13mm
• Gewicht: 375g
• ISBN-13: 9783540458951
• ISBN-10: 3540458956
• Artikelnr.: 21570434

Autorenporträt

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.

Inhaltsangabe

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.

Rezensionen

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)