In 2002, an introductory workshop was held at the Mathematical
Sciences Research Institute in Berkeley to survey some of the many
directions of the commutative algebra field. Six principal speakers
each gave three lectures, accompanied by a help session, describing
the interaction of commutative algebra with other areas of
mathematics for a broad audience of graduate students and
researchers. This book is based on those lectures, together with
papers from contributing researchers. David Benson and Srikanth
Iyengar present an introduction to the uses and concepts of
commutative algebra in the cohomology of groups. Mark Haiman
considers the commutative algebra of n points in the plane. Ezra
Miller presents an introduction to the Hilbert scheme of points to
complement Professor Haiman's paper. Further contributors include
David Eisenbud and Jessica Sidman; Melvin Hochster; Graham
Leuschke; Rob Lazarsfeld and Manuel Blickle; Bernard Teissier; and
Ana Bravo.
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