Overview

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.

Full Product Details

Author:   Bjorn Ian Dundas ,  Björn Jahren ,  Marc Levine ,  P.A. Østvær
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2007 ed.
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783540458951

ISBN 10:   3540458956
Pages:   226
Publication Date:   20 November 2006
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table 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.

Reviews

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)

From the reviews: <p> 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. a ] 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)

Author Information

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.

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