Motivic Homotopy Theory

Lectures at a Summer School in Nordfjordeid, Norway, August 2002
2007
ISBN: 978-3-540-45895-1
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 226 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 365 g

Reihe: Universitext

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.

Zielgruppe

Research

Autoren/Hrsg.

Dundas, Bjorn Ian

Levine, Marc

Voevodsky, Vladimir

Østvær, P.A.

Röndigs, Oliver

Jahren, Björn

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie

Inhaltsverzeichnis

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.

Über Autor(innen)

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.