Homotopy Theory Via Algebraic Geometry and Group Representations: Proceedings of a Conference on Homotopy Theory, March 23-27, 1997, Northwestern University(Contemporary Mathematics)

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. It features a paper prepared by C. Rezk on the Hopkins-Miller theorem, and a set of problems presented at a special problem session held at the conference.

Table of Contents:
Buildings, group extensions and the cohomology of congruence subgroups by A. Adem Hecke algebras acting on elliptic cohomology by A. Baker Some root invariants and Steenrod operations in $\textnormal{Ext}_A(F_2,F_2)$ by R. R. Bruner Toward homology operations for mapping class groups by F. R. Cohen and U. Tillmann Spanier-Whitehead duality and critical points by O. Cornea Comparing completions of a space at a prime by P. Goerss Toward the homotopy groups of the higher real $K$-theory $EO_2$ by V. Gorbounov and P. Symonds Skew symmetric bundle maps by D. H. Gottlieb The Adams spectral sequence for Minami's theorem by W.-H. Lin and M. Mahowald Applications of the Minami-Webb formula to splitting classifying spaces by J. Martino and S. Priddy Brave new worlds in stable homotopy theory by J. P. May The stable splitting of $B_{M_{12}}$ and related groups by R. J. Milgram and C. Overton On the Kervaire invariant problem by N. Minami Schur $Q$-functions and a Kontsevich-Witten genus by J. Morava Stable splittings of classifying spaces of amalgams of finite groups by D. Juan-Pineda What we still don't know about loop spaces of spheres by D. C. Ravenel A topological calculus for formal power series by N. Ray Notes on the Hopkins-Miller theorem by C. Rezk Commutative Morava homology Hopf algebras by H. Sadofsky and W. S. Wilson Northwestern 1997 algebraic topology conference-Problems.