eBook ISBN:  9780821878118 
Product Code:  CONM/220.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821878118 
Product Code:  CONM/220.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 220; 1998; 379 ppMSC: Primary 55; 20
The academic year 1996–97 was designated as a special year in Algebraic Topology at Northwestern University (Evanston, IL). In addition to guest lecturers and special courses, an international conference was held entitled “Current trends in algebraic topology with applications to algebraic geometry and physics”. The series of plenary lectures included in this volume indicate the great breadth of the conference and the lively interaction that took place among various areas of mathematics. Original research papers were submitted, and all submissions were refereed to the usual journal standards.
Features:
 A paper prepared by C. Rezk on the HopkinsMiller theorem.
 A set of problems presented at a special problem session held at the conference.
ReadershipGraduate students and research mathematicians working in algebraic topology.

Table of Contents

Articles

Alejandro Adem — Buildings, group extensions and the cohomology of congruence subgroups [ MR 1642885 ]

Andrew Baker — Hecke algebras acting on elliptic cohomology [ MR 1642886 ]

Robert R. Bruner — Some root invariants and Steenrod operations in ${\rm Ext}_A(F_2,F_2)$ [ MR 1642887 ]

F. R. Cohen and Ulrike Tillmann — Toward homology operations for mapping class groups [ MR 1642888 ]

Octavian Cornea — SpanierWhitehead duality and critical points [ MR 1642889 ]

Paul Goerss — Comparing completions of a space at a prime [ MR 1642890 ]

Vassily Gorbounov and Peter Symonds — Toward the homotopy groups of the higher real $K$theory $E{\rm O}_2$ [ MR 1642891 ]

Daniel Henry Gottlieb — Skew symmetric bundle maps [ MR 1642892 ]

WenHsiung Lin and Mark Mahowald — The Adams spectral sequence for Minami’s theorem [ MR 1642893 ]

John Martino and Stewart Priddy — Applications of the MinamiWebb formula to splitting classifying spaces [ MR 1642894 ]

J. P. May — Brave new worlds in stable homotopy theory [ MR 1642895 ]

R. James Milgram and C. Overton — The stable splitting of $B_{M_{12}}$ and related groups [ MR 1642896 ]

Norihiko Minami — On the Kervaire invariant problem [ MR 1642897 ]

Jack Morava — Schur $Q$functions and a KontsevichWitten genus [ MR 1642898 ]

Daniel JuanPineda — Stable splittings of classifying spaces of amalgams of finite groups [ MR 1642899 ]

Douglas C. Ravenel — What we still don’t know about loop spaces of spheres [ MR 1642900 ]

Nigel Ray — A topological calculus for formal power series [ MR 1642901 ]

Charles Rezk — Notes on the HopkinsMiller theorem [ MR 1642902 ]

Hal Sadofsky and W. Stephen Wilson — Commutative Morava homology Hopf algebras [ MR 1642903 ]

Mark Mahowald and Stewart Priddy — Northwestern 1997 Algebraic Topology Conference—problems [ MR 1642904 ]


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The academic year 1996–97 was designated as a special year in Algebraic Topology at Northwestern University (Evanston, IL). In addition to guest lecturers and special courses, an international conference was held entitled “Current trends in algebraic topology with applications to algebraic geometry and physics”. The series of plenary lectures included in this volume indicate the great breadth of the conference and the lively interaction that took place among various areas of mathematics. Original research papers were submitted, and all submissions were refereed to the usual journal standards.
Features:
 A paper prepared by C. Rezk on the HopkinsMiller theorem.
 A set of problems presented at a special problem session held at the conference.
Graduate students and research mathematicians working in algebraic topology.

Articles

Alejandro Adem — Buildings, group extensions and the cohomology of congruence subgroups [ MR 1642885 ]

Andrew Baker — Hecke algebras acting on elliptic cohomology [ MR 1642886 ]

Robert R. Bruner — Some root invariants and Steenrod operations in ${\rm Ext}_A(F_2,F_2)$ [ MR 1642887 ]

F. R. Cohen and Ulrike Tillmann — Toward homology operations for mapping class groups [ MR 1642888 ]

Octavian Cornea — SpanierWhitehead duality and critical points [ MR 1642889 ]

Paul Goerss — Comparing completions of a space at a prime [ MR 1642890 ]

Vassily Gorbounov and Peter Symonds — Toward the homotopy groups of the higher real $K$theory $E{\rm O}_2$ [ MR 1642891 ]

Daniel Henry Gottlieb — Skew symmetric bundle maps [ MR 1642892 ]

WenHsiung Lin and Mark Mahowald — The Adams spectral sequence for Minami’s theorem [ MR 1642893 ]

John Martino and Stewart Priddy — Applications of the MinamiWebb formula to splitting classifying spaces [ MR 1642894 ]

J. P. May — Brave new worlds in stable homotopy theory [ MR 1642895 ]

R. James Milgram and C. Overton — The stable splitting of $B_{M_{12}}$ and related groups [ MR 1642896 ]

Norihiko Minami — On the Kervaire invariant problem [ MR 1642897 ]

Jack Morava — Schur $Q$functions and a KontsevichWitten genus [ MR 1642898 ]

Daniel JuanPineda — Stable splittings of classifying spaces of amalgams of finite groups [ MR 1642899 ]

Douglas C. Ravenel — What we still don’t know about loop spaces of spheres [ MR 1642900 ]

Nigel Ray — A topological calculus for formal power series [ MR 1642901 ]

Charles Rezk — Notes on the HopkinsMiller theorem [ MR 1642902 ]

Hal Sadofsky and W. Stephen Wilson — Commutative Morava homology Hopf algebras [ MR 1642903 ]

Mark Mahowald and Stewart Priddy — Northwestern 1997 Algebraic Topology Conference—problems [ MR 1642904 ]