Commutative Algebra and Noncommutative Algebraic Geometry: Volume 2, Research Articles
Published on 19. November 2015
Book
Hardback
302 pages
978-1-107-14972-4 (ISBN)
Description
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 2 focuses on the most recent research.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises; 3 Halftones, unspecified; 7 Line drawings, unspecified
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 21 mm
Weight
619 gr
ISBN-13
978-1-107-14972-4 (9781107149724)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
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.
Content
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 Juergen Herzog and Takayuki Hibi; 11. An intriguing ring structure on the set of d-forms Juergen Herzog, Leila Sharifan and Matteo Varbaro; 12. On the subadditivity problem for maximal shifts in free resolutions Juergen 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.