Free Resolutions in Commutative Algebra and Algebraic Geometry

David Eisenbud

Contributors -- Introduction -- Structure and Size of Free Resolutions -- Problems on infinite free resolutions -- /L. Avramov -- Problems on Betti numbers of finite length modules -- /H. Charalambous and E.G. Evans, Jr. -- Multiplicative structures on finite free resolutions -- /M. Miller -- Wonderful rings and awesome modules -- /G. Kempf -- Green's Conjecture -- Green's conjecture: an orientation for algebraists -- /D. Eisenbud -- Some matrices related to Green's conjecture -- /D. Bayer and M. Stillman -- Other Topics -- Problems on local cohomology -- /C. Huneke -- Recent work on Cremona transformations -- /S. Katz -- The homological conjectures -- /P. Roberts -- Remarks on residual intersections -- /B. Ulrich -- Some open problems in invariant theory -- /J. Weyman.