During 1991--1992, Northwestern University conducted a special emphasis year on the topic, "The connections between topology and representation theory". Activities over the year culminated in a conference in May 1992 which attracted over 120 participants. Most of the plenary lectures at the conference were expository and designed to introduce current trends to graduate students and nonspecialists familiar with algebraic topology. This volume contains refereed papers presented or solicited at the conference; one paper is based on a seminar given during the emphasis year.

J. Carlson -- Systems of parameters and the structure of cohomology rings of finite groups 
J. Dietz -- The role of the Steinberg module in splitting $BG$ 
M. J. Hopkins and B. H. Gross -- Equivariant vector bundles on the Lubin-Tate moduli space 
M. J. Hopkins, M. Mahowald, and H. Sadofsky -- Constructions of elements in Picard groups 
I. Kriz -- All complex Thom spectra are harmonic 
N. J. Kuhn -- Constructions of families of elements in the stable homotopy groups of spheres 
J. R. Martino -- Classifying spaces of $p$-groups with cyclic maximal subgroups 
N. Minami -- On the classifying spaces of $SL_3(mathbb Z)$, $St_3(mathbb Z)$ and finite Chevalley groups 
J. H. Palmieri -- The chromatic filtration and the Steenrod algebra 
T. Petrie -- Topology, representations and equivariant algebraic geometry 
K. Shimomura and A. Yabe -- On the chromatic $E_1$-term $H^ast M^2_0$ 
D. Tamaki -- On a space realizing the $v_1$-torsion part of the mod $p$ homotopy groups of $S^3$ 
M. C. Tangora -- Some Massey products in Ext 
M. Tezuka and N. Yagita -- Calculations in mod $p$ cohomology of extra special $p$-groups I 
C. B. Thomas -- Elliptic cohomology of the classifying space of the Mathieu group $M_{24}$

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