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Extended Abstracts Spring 2015 : Interactions between Representation Theory, Algebraic Topology and Commutative Algebra

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概要 This book includes 33 expanded abstracts of selected talks given at the two workshops "Homological Bonds Between Commutative Algebra and Representation Theory" and "Brave New Algebra: Opening Perspectives," and the conference "Opening Perspectives in Algebra, Representations, and Topology," held at the Centre de Recerca Matemàtica (CRM) in Barcelona between January and June 2015. These activities were part of the one-semester intensive research program "Interactions Between Representation Theory, Algebraic Topology and Commutative Algebra (IRTATCA)." Most of the abstracts present preliminary versions of not-yet published results and cover a large number of topics (including commutative and non commutative algebra, algebraic topology, singularity theory, triangulated categories, representation theory) overlapping with homological methods. This comprehensive book is a valuable resource for the community of researchers interested in homological algebra in a broad sense, and those curious to learn the latest developments in the area. It appeals to established researchers as well as PhD and postdoctoral students who want to learn more about the latest advances in these highly active fields of research.
目次 Homological Algebra on an Adams Algebraic Stack
Lyubeznik Numbers of Local Rings and Linear Strands of Graded Ideals
The Heart of a t-Structure Induced by a n-Tilting Module
On Some Local Cohomology Spectral Sequences
Homotopy Representations of Classifying Spaces
Decomposing Gorenstein Rings as Connected Sums
Rigid and Test Modules
Tate Homology Beyond Gorenstein Rings
On the Classication of Artin Algebras and the Inverse System of Macaulay
Purity in Categories of Sheaves
Idempotent Functors and Nilpotent Spaces
Decomposition Spaces and Incidence (Co)Algebras
Cellular Approximations for Fusion Systems
Homological Epimorphisms and the Lie Bracket in Hochschild Cohomology
Gorenstein Projective Precovers
Hochschild Homology on Schemes and Fundamental Class
A Remark on Leclerc's Frobenius Categories
Atom-Molecule Correspondence in Grothendieck Categories
Proalgebraic Crossed Modules of Quasirational Presentations
Some F-Invariants for Quotient Singularities
Strong Generation of Some Derived Categories of Schemes
Regularity of Products over Quadratic Hypersurfaces
Phantom Maps and Representability
Six Operations on dg Enhancements of Derived Categories of Sheaves and Applications
Tensor Product of Dualizing Complexes over a Field
Strong Generators in Tensor Triangulated Categories
Abelian Model Structures and Applications
Singularity Categories of Stable Resolving Subcategories and Applications to Gorenstein Rings
Classes of Flat Modules Arising in Algebraic Geometry and Approximations
The Dual Graph of an Arithmetically Gorenstein Scheme
Baez-Dolan Stabilization via (Semi-)Model Categories of Operads
Vanishing of Tor
Prime Ideals in Noetherian Rings.
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本文を見る Full text available from SpringerLINK ebooks - Mathematics and Statistics (2016)

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登録日 2017.03.07
更新日 2017.11.26