Commutative Algebra and Noncommutative Algebraic Geometry Volume 1 Expository Articles 1st Edition by David Eisenbud, Srikanth B Iyengar, Anurag K Singh, J Toby Stafford, Michel Van den Bergh ISBN 1107065623 9781107065628

Commutative Algebra and Noncommutative Algebraic Geometry Volume 1 Expository Articles 1st Edition by David Eisenbud, Srikanth B. Iyengar, Anurag K. Singh, J. Toby Stafford, Michel Van den Bergh – Ebook PDF Instant Download/Delivery: 1107065623, 9781107065628

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Product details:

ISBN 10: 1107065623

ISBN 13: 9781107065628 

Author: David Eisenbud, Srikanth B. Iyengar, Anurag K. Singh, J. Toby Stafford, Michel Van den Bergh

In the 2012–13 academic year, the Mathematical Sciences Research Institute, Berkeley, hosted programs in Commutative Algebra (Fall 2012 and Spring 2013) and Noncommutative Algebraic Geometry and Representation Theory (Spring 2013). There have been many significant developments in these fields in recent years; what is more, the boundary between them has become increasingly blurred. This was apparent during the MSRI program, where there were a number of joint seminars on subjects of common interest: birational geometry, D-modules, invariant theory, matrix factorizations, noncommutative resolutions, singularity categories, support varieties, and tilting theory, to name a few. These volumes reflect the lively interaction between the subjects witnessed at MSRI. The Introductory Workshops and Connections for Women Workshops for the two programs included lecture series by experts in the field. The volumes include a number of survey articles based on these lectures, along with expository articles and research papers by participants of the programs. Volume 1 contains expository papers ideal for those entering the field.

Table of contents:

1. Growth Functions

2. Syzygies, Finite Length Modules, and Random Curves

3. Vector Bundles and Ideal Closure Operations

4. Hecke Algebras and Symplectic Reflection Algebras

5. Limits in Commutative Algebra and Algebraic Geometry

6. Introduction to Uniformity in Commutative Algebra

7. Noncommutative Motives and Their Applications

8. Infinite Graded Free Resolutions

9. Poincaré–Birkhoff–Witt Theorems

10. Frobenius Splitting in Commutative Algebra

11. From Briançon–Skoda to Scherk–Varchenko

12. The Interplay of Algebra and Geometry in the Setting of Regular Algebras

13. Survey on the D-Module f^s

14. Introduction to Derived Categories

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Tags: David Eisenbud, Srikanth B Iyengar, Anurag K Singh, J Toby Stafford, Michel Van den Bergh, Commutative Algebra, Noncommutative Algebraic Geometry, Expository Articles