J. Frank Adams had a profound influence on algebraic topology, and his work continues to shape its development. The International Symposium on Algebraic Topology held in Manchester during July 1990 was dedicated to his memory, and virtually all of the world's leading experts took part. This two volume work constitutes the proceedings of the symposium; the articles contained here range from overviews to reports of work still in progress, as well as a survey and complete bibliography of Adam's own work. These proceedings form an important compendium of current research in algebraic topology, and one that demonstrates the depth of Adams' many contributions to the subject. This second volume is oriented towards homotopy theory, the Steenrod algebra and the Adams spectral sequence. In the first volume the theme is mainly unstable homotopy theory, homological and categorical.
Author(s): Nigel Ray, Grant Walker
Series: London Mathematical Society Lecture Note Series
Publisher: CUP
Year: 1992
Language: English
Pages: 329
Contents of Volume 2......Page 5
Preface......Page 7
Contents of Volume 1......Page 9
Programme of one-hour invited lectures......Page 11
Programme of contributed lectures......Page 12
Programme of Posters......Page 13
Participants in the Symposium......Page 15
1 Progress report on the telescope conjecture......Page 25
2 On If,-local stable homotopy theory......Page 47
3 Detruncating Morava K-theory......Page 59
4 On the p-adic interpolation of stable homotopy groups......Page 69
5 Some remarks on vl-periodic homotopy groups......Page 79
6 The unstable Novikov spectral sequence for Sp(n), and the power series sinh-1(a)......Page 97
7 Unstable Adams spectral sequence charts......Page 111
8 On a certain localization of the stable homotopy of the space Xr......Page 143
9 Cooperations in elliptic homology......Page 155
10 Completions of G-spectra at ideals of the Burnside ring......Page 169
11 Theorems of Poisson, Euler and Bernouilli on the Adams spectral sequence......Page 203
12 Algebras over the Steenrod algebra and finite H-spaces......Page 211
13 The boundedness conjecture for the action of the Steenrod algebra on polynomials......Page 227
14 Representations of the homology of BV and the Steenrod algebra I......Page 241
15 Generic representation theory and Lannes' T-functor......Page 259
16 Some chromatic phenomena in the homotopy of MSp......Page 287
17 On a conjecture of Mahowald concerning bordism with singularities......Page 305
18 Topological gravity and algebraic topology......Page 315
