Trends in Commutative Algebra (Mathematical Sciences Research Institute Publications)
Contributors: Luchezar L. Avramov (Editor); Mark Green (Editor); Craig Huneke (Editor); Karen E. Smith (Editor); Bernd Sturmfels (Editor)
Publisher: Cambridge University Press
Published: December 13, 2004
Language: eng
Format: Hardcover
Number of pages: 264
ISBN-13: 9780521831956
Subjects: Fields & rings; General; Mathematics; Science/Mathematics; Algebra - General; Mathematics / Algebra / General; Commutative algebra
First sentence: The purpose of these lectures is to explain how commutative algebra is used in the cohomology of groups.
Description: 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.