This book provides a comprehensive introduction to the interactions between noncommutative algebra and classical algebraic geometry. Num Pages: 366 pages, illustrations. BIC Classification: PBMW. Category: (U) Tertiary Education (US: College). Dimension: 164 x 242 x 23. Weight in Grams: 660. . 2016. hardcover. . . . . Books ship from the US and Ireland.

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Bibliographic Details

Title: Noncommutative Algebraic Geometry: 64 (Mathematical Sciences Research Institute Publications, Series Number 64)
Publisher: Cambridge University Press
Publication Date: 2016
Language: English
ISBN 10: 1107129540
ISBN 13: 9781107129542
Binding: Hardcover
Condition: New

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Synopsis

There are many interactions between noncommutative algebra and representation theory on the one hand and classical algebraic geometry on the other, with important applications in both directions. The aim of this book is to provide a comprehensive introduction to some of the most significant topics in this area, including noncommutative projective algebraic geometry, deformation theory, symplectic reflection algebras, and noncommutative resolutions of singularities. The book is based on lecture courses in noncommutative algebraic geometry given by the authors at a Summer Graduate School at the Mathematical Sciences Research Institute, California in 2012 and, as such, is suitable for advanced graduate students and those undertaking early post-doctorate research. In keeping with the lectures on which the book is based, a large number of exercises are provided, for which partial solutions are included.

Book Description

This book provides a comprehensive introduction to some of the most significant interactions between noncommutative algebra and representation theory and classical algebraic geometry, including noncommutative projective algebraic geometry, deformation theory, symplectic reflection algebras, and noncommutative resolutions of singularities.

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