Homotopy Theory Via Algebraic Geometry and Group Representations: Proceedings of a Conference on Homotopy Theory, March 23-27, 1997, Northwestern University / Edition 1

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Brand new. We distribute directly for the publisher. 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 Hopkins-Miller theorem. * A set of problems presented at a special problem session held at the conference. Read more Show Less

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Overview

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 Hopkins-Miller theorem. A set of problems presented at a special problem session held at the conference.

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Editorial Reviews

Booknews
The March 1997 conference was held as part of the 1996-97 Northwestern special emphasis year in algebraic topology. The volume lists the plenary lectures presented and concludes with 15 problems presented at a special session. Representative titles of selected papers include: brave new worlds in stable homotopy theory (J. P. May), notes on the Hopkins-Miller theorem (C. Rezk), skew symmetric bundle maps (D. Gottlieb), Spanier-Whitehead duality and critical points (O. Cornea), and what we still don't know about loop spaces of spheres (D. Ravenel). No index. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780821808054
  • Publisher: American Mathematical Society
  • Publication date: 8/1/1998
  • Series: Contemporary Mathematics Series , #220
  • Edition number: 1
  • Pages: 379

Table of Contents

Preface
Plenary talks
Buildings, group extensions and the cohomology of congruence subgroups 1
Hecke algebras acting on elliptic cohomology 17
Some root invariants and Steenrod operations in Ext[subscript A](F[subscript 2], F[subscript 2]) 27
Toward homology operations for mapping class groups 35
Spanier-Whitehead duality and critical points 47
Comparing completions of a space at a prime 65
Toward the homotopy groups of the higher real K-theory EO[subscript 2] 103
Skew symmetric bundle maps 117
The Adams spectral sequence for Minami's theorem 143
Applications of the Minami-Webb formula to splitting classifying spaces 179
Brave new worlds in stable homotopy theory 193
The stable splitting of B[subscript M12] and related groups 213
On the Kervaire invariant problem 229
Schur Q-functions and a Kontsevich-Witten genus 255
Stable splittings of classifying spaces of amalgams of finite groups 267
What we still don't know about loop spaces of spheres 275
A topological calculus for formal power series 293
Notes on the Hopkins-Miller theorem 313
Commutative Morava homology Hopf algebras 367
Problems 375
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