ホモトピー論の最近の発展(会議録)<br>Recent Progress in Homotopy Theory : Proceedings of a Conference on Recent Progress in Homotopy Theory, March 17-27, 2000, Johns Hopkins University, B

ホモトピー論の最近の発展(会議録)
Recent Progress in Homotopy Theory : Proceedings of a Conference on Recent Progress in Homotopy Theory, March 17-27, 2000, Johns Hopkins University, B

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 409 p.
  • 言語 ENG,ENG
  • 商品コード 9780821828014
  • DDC分類 514.24

Full Description


This volume presents the proceedings from the month-long program held at Johns Hopkins University (Baltimore, MD) on homotopy theory, sponsored by the Japan-U.S. Mathematics Institute (JAMI). The book centers on the following: classical and nonclassical theory of $H$-spaces, compact groups, and finite groups, classical and chromatic homotopy theory and localization, classical and topological Hochschild cohomology, elliptic cohomology and its relation to Moonshine and topological modular forms, and motivic cohomology and Chow rings. It surveys the current state of research in homotopy theory and suggests a framework for future developments. The book begins with two historical accounts, of the work of Professors Peter Landweber and Stewart Priddy, in honor of their sixtieth birthdays.

Table of Contents

Preface                                            ix
Two papers on the history of topology
A marriage of manifolds and algebra: The 3 (12)
mathematical work of Peter Landweber
H. Miller
Some mathematical influences of Stewart Priddy 15 (20)
N. Minami
Research papers
Some properties of the K-theory completion 35 (10)
M. Bendersky
R. Thompson
Nonimmersions of real projective spaces 45 (24)
implied by tmf
R. Bruner
D. Davis
M. Mahowald
Higher Euler characteristics for almost 69 (6)
extraspecial P-groups
M. Brunetti
Unstable p-th order operation and H-spaces 75 (14)
Y. Hemmi
The structure of 24 dimensional manifolds 89 (22)
having normal bundles which lift to BO[8]
M. Mahowald
M. Hopkins
The homology of BPO 111(14)
P. Hu
I. Kriz
A-generators of the cohomology of the 125(16)
Steinberg summand M(n)
M. Inoue
Commutators in the homology of H-spaces 141(12)
J. Lin
A solution of Deligne's Hochschild cohomology 153(42)
conjecture
J. McClure
J. Smith
Hopf algebra structure of Morava K-theory of 195(38)
the exceptional Lie groups
M. Mimura
T. Nishimoto
Minami-Webb type decompositions for compact 233(18)
Lie groups
J. Martino
S. Priddy
The method of infinite descent in stable 251(34)
homotopy theory I
D. Ravenel
The homotopy groups π*(LnT(m) Λ V(n 285(14)
- 2))
K. Shimomura
The fiber of iterated Freudenthal suspension 299(32)
and Morava K-theory of ΩkS2l+1
D. Tamaki
On K-flat and K-moonshine-like elements in 331(12)
elliptic cohomology
M. Tanabe
The geometric fixed point spectrum of (Z/p)k 343(28)
Borel cohomology for En and its completion
T. Torii
A possible new approach to the motivic 371(10)
spectral sequence for algebraic K-theory
V. Voevodsky
Rings of invariants and inseparable forms of 381(16)
algebras over the Steenrod algebra
C. Wilkerson
Chow rings of classifying spaces of 397
extraspecial p groups
N. Yagita