**Contemporary Mathematics**

Volume: 220;
1998;
379 pp;
Softcover

MSC: Primary 55; 20;

Print ISBN: 978-0-8218-0805-4

Product Code: CONM/220

List Price: $95.00

Individual Member Price: $76.00

**Electronic ISBN: 978-0-8218-7811-8
Product Code: CONM/220.E**

List Price: $95.00

Individual Member Price: $76.00

# Homotopy Theory via Algebraic Geometry and Group Representations

Share this page *Edited by *
*Mark Mahowald; Stewart Priddy*

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.

#### Table of Contents

# Table of Contents

## Homotopy Theory via Algebraic Geometry and Group Representations

- Contents vii8 free
- Preface ix10 free
- Plenary talks xi12 free
- Buildings, group extensions and the cohomology of congruence subgroups 114 free
- Heeke algebras acting on elliptic cohomology 1730
- Some root invariants and Steenrod operations in ExtA(F2, F2) 2740
- Toward homology operations for mapping class groups 3548
- Spanier-Whitehead duality and critical points 4760
- Comparing completions of a space at a prime 6578
- Toward the homotopy groups of the higher real K-theory E02 103116
- Skew symmetric bundle maps 117130
- The Adams spectral sequence for Minami's theorem 143156
- Applications of the Minami-Webb formula to splitting classifying spaces 179192
- Brave new worlds in stable homotopy theory 193206
- The stable splitting of BM12 and related groups 213226
- On the Kervaire invariant problem 229242
- Schur Q-functions and a Kontsevich-Witten genus 255268
- Stable splittings of classifying spaces of amalgams of finite groups 267280
- What we still don't know about loop spaces of spheres 275288
- A topological calculus for formal power series 293306
- Notes on the Hopkins-Miller theorem 313326
- Commutative Morava homology Hopf algebras 367380
- Problems 375388

#### Readership

Graduate students and research mathematicians working in algebraic topology.