Ravenel Nilpotence and Periodicity in Stable Homotopy Theory

1. Auflage 2016
ISBN: 978-1-4008-8248-9
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 128, 224 Seiten

Reihe: Annals of Mathematics Studies

RavenelDouglas C.:

Douglas C. Ravenel is Professor of Mathematics at the University of Rochester.Douglas C. Ravenel is Professor of Mathematics at the University of Rochester.

Autoren/Hrsg.

Ravenel, Douglas C.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Topologie
• Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie

Inhaltsverzeichnis

Frontmatter, pg. i
Contents, pg. vii
Preface, pg. xi
Introduction, pg. xiii
Chapter 1. The main theorems, pg. 1
Chapter 2. Homotopy groups and the chromatic filtration, pg. 11
Chapter 3. MU-theory and formal group laws, pg. 25
Chapter 4. Morava’s orbit picture and Morava stabilizer groups, pg. 37
Chapter 5. The thick subcategory theorem, pg. 45
Chapter 6. The periodicity theorem, pg. 53
Chapter 7. Bousfield localization and equivalence, pg. 69
Chapter 8. The proofs of the localization, smash product and chromatic convergence theorems, pg. 81
Chapter 9. The proof of the nilpotence theorem, pg. 99
Appendix A. Some tools from homotopy theory, pg. 119
Appendix B. Complex bordism and BP-theory, pg. 145
Appendix C. Some idempotents associated with the symmetric group, pg. 183
Bibliography, pg. 195
Index, pg. 205

Über Autor(innen)

Douglas C. Ravenel is Professor of Mathematics at the University of Rochester.