ISBN-10:
110714972X
ISBN-13:
9781107149724
Pub. Date:
11/09/2015
Publisher:
Cambridge University Press
Commutative Algebra and Noncommutative Algebraic Geometry: Volume 2, Research Articles

Commutative Algebra and Noncommutative Algebraic Geometry: Volume 2, Research Articles

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Overview

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.

Product Details

ISBN-13: 9781107149724
Publisher: Cambridge University Press
Publication date: 11/09/2015
Series: Mathematical Sciences Research Institute Publications Series , #68
Pages: 302
Product dimensions: 6.14(w) x 9.21(h) x 0.71(d)

About the Author

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

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

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

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

Michel Van den Bergh is Director of Research at the Research Foundation - Flanders (FWO) in Belgium.

Table of Contents

Preface David Eisenbud, Srikanth B. Iyengar, Anurag K. Singh, J. Toby Stafford and Michel Van den Bergh; 1. When is a squarefree monomial ideal of linear type? Ali Alilooee and Sara Faridi; 2. Modules for elementary abelian groups and hypersurface singularities David J. Benson; 3. Ideals generated by superstandard tableaux Andrew Berget, Winfried Bruns and Aldo Conca; 4. Zariski topologies on stratified spectra of quantum algebras Kenneth A. Brown and Kenneth R. Goodearl; 5. The derived category of a graded Gorenstein ring Jesse Burke and Greg Stevenson; 6. Singularities with respect to Mather-Jacobian discrepancies Lawrence Ein and Shihoko Ishii; 7. Reduction numbers and balanced ideals Louiza Fouli; 8. Unipotent and Nakayama automorphisms of quantum nilpotent algebras Kenneth R. Goodearl and Milen T. Yakilmov; 9. Formal fibers of prime ideals in polynomial rings William Heinzer, Christel Rotthaus and Sylvia Wiegand; 10. Bounding the socles of powers of squarefree monomial ideals Jürgen Herzog and Takayuki Hibi; 11. An intriguing ring structure on the set of d-forms Jürgen Herzog, Leila Sharifan and Matteo Varbaro; 12. On the subadditivity problem for maximal shifts in free resolutions Jürgen Herzog and Hema Srinivasan; 13. The cone of Betti tables over a rational normal curve Manoj Kummini and Steven V. Sam; 14. Adjoint associativity - an invitation to algebra in ∞-categories Joseph Lipman.

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