Interest in commutative algebra has surged over the past
decades. In order to survey and highlight recent developments in
this rapidly expanding field, the Centre de Recerca Matematica in
Bellaterra organized a ten-days Summer School on Commutative
Algebra in 1996. Lectures were presented by six high-level
specialists, L. Avramov (Purdue), M.K. Green (UCLA), C. Huneke
(Purdue), P. Schenzel (Halle), G. Valla (Genova) and W.V.
Vasconcelos (Rutgers), providing a fresh and extensive account of
the results, techniques and problems of some of the most active
areas of research. The present volume is a synthesis of the
lectures given by these authors. Research workers as well as
graduate students in commutative algebra and nearby areas will find
a useful overview of the field and recent developments in it.
Reviews
"All six articles are at a very high level; they provide a
thorough survey of results and methods in their subject areas,
illustrated with algebraic or geometric examples." - Acta
Scientiarum Mathematicarum
Avramov lecture: ..". it contains all the major results on
infinite free resolutions], it explains carefully all the different
techniques that apply, it provides complete proofs ( ). This will
be extremely helpful for the novice as well as the experienced." -
Mathematical reviews
Huneke lecture: "The topic is tight closure, a theory developed
by M. Hochster and the author which has in a short time proved to
be a useful and powerful tool. ( ) The paper is extremely well
organized, written, and motivated." - Zentralblatt MATH
Schenzel lecture: " this paper is an excellent introduction to
applications of local cohomology." - Zentralblatt MATH
Valla lecture: " since he is an acknowledged expert on Hilbert
functions and since his interest has been so broad, he has done a
superb job in giving the readers a lively picture of the theory." -
Mathematical reviews
Vasconcelos lecture: "This is a very useful survey on invariants
of modules over noetherian rings, relations between them, and how
to compute them." - Zentralblatt MATH"
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