Contemporary Mathematics 1998; 379 pp; softcover Volume: 220 ISBN10: 0821808052 ISBN13: 9780821808054 List Price: US$90 Member Price: US$72 Order Code: CONM/220
 The academic year 199697 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.
Readership Graduate students and research mathematicians working in algebraic topology. Table of Contents  A. Adem  Buildings, group extensions and the cohomology of congruence subgroups
 A. Baker  Hecke algebras acting on elliptic cohomology
 R. R. Bruner  Some root invariants and Steenrod operations in \(\mathrm{Ext}_A(F_2,F_2)\)
 F. R. Cohen and U. Tillmann  Toward homology operations for mapping class groups
 O. Cornea  SpanierWhitehead duality and critical points
 P. Goerss  Comparing completions of a space at a prime
 V. Gorbounov and P. Symonds  Toward the homotopy groups of the higher real \(K\)theory \(EO_2\)
 D. H. Gottlieb  Skew symmetric bundle maps
 W.H. Lin and M. Mahowald  The Adams spectral sequence for Minami's theorem
 J. Martino and S. Priddy  Applications of the MinamiWebb formula to splitting classifying spaces
 J. P. May  Brave new worlds in stable homotopy theory
 R. J. Milgram and C. Overton  The stable splitting of \(B_{M_{12}}\) and related groups
 N. Minami  On the Kervaire invariant problem
 J. Morava  Schur \(Q\)functions and a KontsevichWitten genus
 D. JuanPineda  Stable splittings of classifying spaces of amalgams of finite groups
 D. C. Ravenel  What we still don't know about loop spaces of spheres
 N. Ray  A topological calculus for formal power series
 C. Rezk  Notes on the HopkinsMiller theorem
 H. Sadofsky and W. S. Wilson  Commutative Morava homology Hopf algebras
 Northwestern 1997 algebraic topology conferenceProblems
