Conference sponsored by Northwestern University, March 2226, 1982.

Includes bibliographies.

On weakly almost complex manifolds with vanishing decomposable Chern numbers ; The Kervaire invariant problem ; Surgery theory of immersions ; The homology of function spaces ; Some new immersions and nonimmersions of real projective spaces ; Simple proofs of some BorsukUlam results ; Alteration of tructures ; Poincare spaces with the homology of a sphere ; Rational algebraic heory of a product of EilenbergMac Lane spaces ; An algebraic filtration of _* B\rm O ; The cohomology of the DyerLashof algebra ; Spacelike resolutions of spectra ; Equivariant bundles with abelian structural group ; Cohomology extensions in certain tage Postnikov systems ; BorsukUlam theorems for spherical space forms ; On the classification of pheres ; Some root invariants in rm Ext_A^\ast ,^\ast (\bf Z2,\,\bf Z2) ; On the Segal conjecture for periodic groups ; Power series methods in unoriented cobordism ; Rothenberg sequences and the algebraic ^1 undle transfer ; Small ring spectra and ank of the stable homotopy of spheres ; Equivariant cell attachment and equivariant vector bundles ; Embedding certain complexes via unstable homotopy theory ; Exotic spheres admitting circle actions with codimension four stationary sets ; Note on symbols in _n ; The cohomology of subgroups of rm GL_n(F_q) ; Filtrations on the representation ring of a finite group ; The homotopy limit problem ; A primer on the Dickson invariants ; Current problems in homotopy theory and related topics Andrew Baker ; M G Barratt J D S Jones and M E Mahowald ; J Scott Carter ; F R Cohen and L R Taylor ; Donald M Davis ; Albrecht Dold ; J Harper and A Zabrodsky ; JeanClaude Hausmann ; W C Hsiang and R E Staffeldt ; Stanley O Kochman ; David Kraines and Thomas Lada ; Nicholas J Kuhn ; R K Lashof J P May and G B Segal ; Wen Hsiung Lin ; Arunas Liulevicius ; Ib Madsen and Mel Rothenberg ; Mark Mahowald and Paul Shick ; Haynes Miller and Clarence Wilkerson ; Stephen A Mitchell ; Hans J Munkholm ; Shichiro Oka ; Ted Petrie ; Nigel Ray and Lionel Schwartz ; Reinhard Schultz ; Nobuo Shimada ; M Tezuka and N Yagita ; C B Thomas ; R W Thomason ; Clarence Wilkerson ; Haynes R Miller and Stewart B Priddy