國立虎尾科技大學 |

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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Extended Abstracts Spring 2015/ edited by Dolors Herbera, Wolfgang Pitsch, Santiago Zarzuela.
其他題名:	Interactions between Representation Theory, Algebraic Topology and Commutative Algebra /
其他作者:	Herbera, Dolors.
面頁冊數:	IX, 192 p. 2 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Commutative algebra. -
電子資源:	https://doi.org/10.1007/978-3-319-45441-2
ISBN:	9783319454412

Extended Abstracts Spring 2015 = Interactions between Representation Theory, Algebraic Topology and Commutative Algebra /
Extended Abstracts Spring 2015Interactions between Representation Theory, Algebraic Topology and Commutative Algebra /[electronic resource] :edited by Dolors Herbera, Wolfgang Pitsch, Santiago Zarzuela. - 1st ed. 2016. - IX, 192 p. 2 illus.online resource. - Research Perspectives CRM Barcelona,52509-7407 ;. - Research Perspectives CRM Barcelona,4.

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.

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.

ISBN: 9783319454412

Standard No.: 10.1007/978-3-319-45441-2doiSubjects--Topical Terms:

672047
Commutative algebra.

LC Class. No.: QA251.3

Dewey Class. No.: 512.44

Extended Abstracts Spring 2015 = Interactions between Representation Theory, Algebraic Topology and Commutative Algebra /
LDR:04459nam a22003975i 4500 001 982762
003 DE-He213
005 20200705114049.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319454412 $9 978-3-319-45441-2
024 7 $a 10.1007/978-3-319-45441-2 $2 doi
035 $a 978-3-319-45441-2
050 4 $a QA251.3
072 7 $a PBF $2 bicssc
072 7 $a MAT002010 $2 bisacsh
072 7 $a PBF $2 thema
082 0 4 $a 512.44 $2 23
245 1 0 $a Extended Abstracts Spring 2015 $h [electronic resource] : $b Interactions between Representation Theory, Algebraic Topology and Commutative Algebra / $c edited by Dolors Herbera, Wolfgang Pitsch, Santiago Zarzuela.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2016.
300 $a IX, 192 p. 2 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Research Perspectives CRM Barcelona, $x 2509-7407 ; $v 5
505 0 $a 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.
520 $a 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.
650 0 $a Commutative algebra. $3 672047
650 0 $a Commutative rings. $3 672474
650 1 4 $a Commutative Rings and Algebras. $3 672054
700 1 $a Herbera, Dolors. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1115823
700 1 $a Pitsch, Wolfgang. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1115824
700 1 $a Zarzuela, Santiago. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1115825
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319454405
776 0 8 $i Printed edition: $z 9783319454429
830 0 $a Research Perspectives CRM Barcelona, $x 2509-7407 ; $v 4 $3 1255351
856 4 0 $u https://doi.org/10.1007/978-3-319-45441-2
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)