Trends in Commutative Algebra: 51 (Mathematical Sciences Research Institute Publications, Series Number 51) - Hardcover

Hardcover

ISBN 10: 0521831954 ISBN 13: 9780521831956

Publisher: Cambridge University Press, 2005

Synopsis

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.

About this title

Review

Review of the hardback: '... invaluable reading for graduate students and researchers interested in commutative algebra and its various uses.' L'Enseignement Mathématique

Book Description

This book is based on lectures by six internationally known experts presented at the 2002 MSRI introductory workshop on commutative algebra. These focus on the interaction of commutative algebra with other areas of mathematics, including algebraic geometry, group cohomology and representation theory, and combinatorics.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2005
• Language: English
• ISBN 10: 0521831954
• ISBN 13: 9780521831956
• Binding: Hardcover
• Number of pages: 266
• Editor: Avramov Luchezar L., Green Mark, Huneke Craig, Smith Karen E., Sturmfels Bernd