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Extended Abstracts Spring 2015

Interactions between Representation Theory, Algebraic Topology and Commutative Algebra

  • Conference proceedings
  • © 2016

Overview

Editors:
  1. Dolors Herbera

    1. Universitat Autònoma de Barcelona, Departament de Matemàtiques Universitat Autònoma de Barcelona, Bellaterra, Spain

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  2. Wolfgang Pitsch

    1. Universitat Autònoma de Barcelona, Departament de Matemàtiques Universitat Autònoma de Barcelona, Bellaterra, Spain

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  3. Santiago Zarzuela

    1. Universitat de Barcelona, Departament de Matemàtiques i Informàtica, Barcelona, Spain

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Part of the book series: Trends in Mathematics (TM, volume 5)

Part of the book sub series: Research Perspectives CRM Barcelona (RPCRMB)

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Table of contents (33 papers)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Homological Algebra on an Adams Algebraic Stack

    • Leovigildo Alonso Tarrío
    Pages 1-5

  3. Lyubeznik Numbers of Local Rings and Linear Strands of Graded Ideals

    • Josep Àlvarez Montaner
    Pages 7-13

  4. The Heart of a t-Structure Induced by a n-Tilting Module

    • Silvana Bazzoni
    Pages 15-19

  5. On Some Local Cohomology Spectral Sequences

    • Alberto F. Boix
    Pages 21-26

  6. Homotopy Representations of Classifying Spaces

    • Natàlia Castellana
    Pages 27-33

  7. Decomposing Gorenstein Rings as Connected Sums

    • Hariharan Ananthnarayan, Ela Celikbas, Zheng Yang
    Pages 35-39

  8. Rigid and Test Modules

    • Olgur Celikbas
    Pages 41-46

  9. Tate Homology Beyond Gorenstein Rings

    • Lars Winther Christensen
    Pages 47-51

  10. On the Classification of Artin Algebras and the Inverse System of Macaulay

    • Joan Elias
    Pages 53-57

  11. Purity in Categories of Sheaves

    • Sergio Estrada
    Pages 59-62

  12. Idempotent Functors and Nilpotent Spaces

    • Wojciech Chachólski, Emmanuel Dror Farjoun, Ramón Flores, Jérôme Scherer
    Pages 63-67

  13. Decomposition Spaces and Incidence (Co)Algebras

    • Imma Gálvez-Carrillo
    Pages 69-74

  14. Cellular Approximations for Fusion Systems

    • Alberto Gavira-Romero
    Pages 75-80

  15. Homological Epimorphisms and the Lie Bracket in Hochschild Cohomology

    • Reiner Hermann
    Pages 81-85

  16. Gorenstein Projective Precovers

    • Alina Iacob
    Pages 87-90

  17. Hochschild Homology on Schemes and Fundamental Class

    • Ana Jeremías López
    Pages 91-95

  18. A Remark on Leclerc’s Frobenius Categories

    • Martin Kalck
    Pages 97-101

  19. Atom-Molecule Correspondence in Grothendieck Categories

    • Ryo Kanda
    Pages 103-107

  20. Proalgebraic Crossed Modules of Quasirational Presentations

    • Andrey Mikhovich
    Pages 109-114
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Keywords

About this book

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.

Editors and Affiliations

  • Universitat Autònoma de Barcelona, Departament de Matemàtiques Universitat Autònoma de Barcelona, Bellaterra, Spain

    Dolors Herbera, Wolfgang Pitsch

  • Universitat de Barcelona, Departament de Matemàtiques i Informàtica, Barcelona, Spain

    Santiago Zarzuela

Bibliographic Information

  • Book Title: Extended Abstracts Spring 2015

  • Book Subtitle: Interactions between Representation Theory, Algebraic Topology and Commutative Algebra

  • Editors: Dolors Herbera, Wolfgang Pitsch, Santiago Zarzuela

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-45441-2

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Softcover ISBN: 978-3-319-45440-5Published: 06 December 2016

  • eBook ISBN: 978-3-319-45441-2Published: 30 November 2016

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: IX, 192

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Commutative Rings and Algebras

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