Motivic Homotopy Theory - Lectures at a Summer School in Nordfjordeid, Norway, August 2002

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.

List of contents

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.

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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)

Product details

• Authors: Bjorn Ian Dundas, Marc Levine, P. A. Østvær, P.A. Østvær, Oliver Röndigs, Vladimir Voevodsky
• Assisted by: Björn Jahren (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 20.11.2006
• EAN: 9783540458951
• ISBN: 978-3-540-45895-1
• No. of pages: 226
• Dimensions: 155 mm x 236 mm x 15 mm
• Weight: 375 g
• Illustrations: X, 226 p.
• Series: Universitext
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; B, Algebraische Geometrie, Algebraische Topologie, Group Theory, Mathematics and Statistics, Algebraic Geometry, Group Theory and Generalizations, Algebraic Topology, Simplicial sets, homotopy theory, Nisnevich topology