Skip to content
Register Sign in Wishlist
Look Inside Commutative Algebra and Noncommutative Algebraic Geometry

Commutative Algebra and Noncommutative Algebraic Geometry

Volume 1. Expository Articles

Part of Mathematical Sciences Research Institute Publications

David Eisenbud, Srikanth B. Iyengar, Anurag K. Singh, J. Toby Stafford, Michel Van den Bergh, Jason P. Bell, Christine Berkesch, Frank-Olaf Schreyer, Holger Brenner, Maria Chlouveraki, Steven Dale Cutkosky, Craig Huneke, Claudiu Raicu, Matilde Marcolli, Gonçalo Tabuada, Jason McCullough, Irena Peeva, Anne V. Shepler, Sarah Witherspoon, Karen E. Smith, Wenliang Zhang, Duco van Straten, Michaela Vancliff, Uli Walther, Anton Leykin, Amnon Yekutieli
View all contributors
  • Date Published: November 2015
  • availability: Available
  • format: Hardback
  • isbn: 9781107065628

Hardback

Add to wishlist

Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • 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.

    • High-quality articles survey the current state of knowledge in this extremely active field
    • Focuses on areas of common interest which emphasise the lively interaction between commutative algebra and noncommutative algebraic geometry
    • Valuable to researchers and graduate students studying algebra and algebraic geometry
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: November 2015
    • format: Hardback
    • isbn: 9781107065628
    • length: 462 pages
    • dimensions: 234 x 156 x 25 mm
    • weight: 0.82kg
    • contains: 15 b/w illus. 50 exercises
    • availability: Available
  • Table of Contents

    Preface David Eisenbud, Srikanth B. Iyengar, Anurag K. Singh, J. Toby Stafford and Michel Van den Bergh
    1. Growth functions Jason P. Bell
    Syzygies, finite length modules, and random curves Christine Berkesch and Frank-Olaf Schreyer
    2. Vector bundles and ideal closure operations Holger Brenner
    3. Hecke algebras and symplectic reflection algebras Maria Chlouveraki
    4. Limits in commutative algebra and algebraic geometry Steven Dale Cutkosky
    5. Introduction to uniformity in commutative algebra Craig Huneke and Claudiu Raicu
    6. Noncommutative motives and their applications Matilde Marcolli and Gonçalo Tabuada
    7. Infinite graded free resolutions Jason McCullough and Irena Peeva
    8. Poincaré–Birkhoff–Witt theorems Anne V. Shepler and Sarah Witherspoon
    9. Frobenius splitting in commutative algebra Karen E. Smith and Wenliang Zhang
    10. From Briançon–Skoda to Scherk–Varchenko Duco van Straten
    11. The interplay of algebra and geometry in the setting of regular algebras Michaela Vancliff
    12. Survey on the D-module f s Uli Walther, with an appendix by Anton Leykin
    13. Introduction to derived categories Amnon Yekutieli.

  • Editors

    David Eisenbud, University of California, Berkeley
    David Eisenbud is a Professor in the Department of Mathematics at the University of California, Berkeley.

    Srikanth B. Iyengar, University of Utah
    Srikanth B. Iyengar is a Professor in the Department of Mathematics at the University of Utah.

    Anurag K. Singh, University of Utah
    Anurag K. Singh is a Professor in the Department of Mathematics at the University of Utah.

    J. Toby Stafford, University of Manchester
    J. Toby Stafford is Professor in the Department of Mathematics at the University of Manchester.

    Michel Van den Bergh, Fonds Wetenschappelijk Onderzoek , Belgium
    Michel Van den Bergh is Director of Research at the Research Foundation - Flanders (FWO), Belgium.

    Contributors

    David Eisenbud, Srikanth B. Iyengar, Anurag K. Singh, J. Toby Stafford, Michel Van den Bergh, Jason P. Bell, Christine Berkesch, Frank-Olaf Schreyer, Holger Brenner, Maria Chlouveraki, Steven Dale Cutkosky, Craig Huneke, Claudiu Raicu, Matilde Marcolli, Gonçalo Tabuada, Jason McCullough, Irena Peeva, Anne V. Shepler, Sarah Witherspoon, Karen E. Smith, Wenliang Zhang, Duco van Straten, Michaela Vancliff, Uli Walther, Anton Leykin, Amnon Yekutieli

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×