Advertisement

Building Bridges Between Algebra and Topology

  • Wojciech Chachólski
  • Tobias Dyckerhoff
  • John Greenlees
  • Greg Stevenson
  • Dolors Herbera
  • Wolfgang Pitsch
  • Santiago Zarzuela

Part of the Advanced Courses in Mathematics - CRM Barcelona book series (ACMBIRK)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Tobias Dyckerhoff
    Pages 1-61
  3. Wojciech Chachólski
    Pages 171-224
  4. Back Matter
    Pages 225-225

About this book

Introduction

This volume presents an elaborated version of lecture notes for two advanced courses: (Re)Emerging Methods in Commutative Algebra and Representation Theory and Building Bridges Between Algebra and Topology, held at the CRM in the spring of 2015.

Homological algebra is a rich and ubiquitous subject; it is both an active field of research and a widespread toolbox for many mathematicians. Together, these notes introduce recent applications and interactions of homological methods in commutative algebra, representation theory and topology, narrowing the gap between specialists from different areas wishing to acquaint themselves with a rapidly growing field. The covered topics range from a fresh introduction to the growing area of support theory for triangulated categories to the striking consequences of the formulation in the homotopy theory of classical concepts in commutative algebra. Moreover, they also include a higher categories view of Hall algebras and an introduction to the use of idempotent functors in algebra and topology.

 

Keywords

hall algebras triangulated categories brave new algebra support theory idempotent functors

Authors and affiliations

  • Wojciech Chachólski
    • 1
  • Tobias Dyckerhoff
    • 2
  • John Greenlees
    • 3
  • Greg Stevenson
    • 4
  1. 1.Department of MathematicsKungliga Teknisk Högskola (KTH)StockolmSweden
  2. 2.Hausdorff Center for MathematicsBonnGermany
  3. 3.School of Mathematics and StatisticsUniversity of SheffieldSheffieldUnited Kingdom
  4. 4.Fakultät für MathematikUniversität BielefeldBielefeldGermany

Editors and affiliations

  • Dolors Herbera
    • 1
  • Wolfgang Pitsch
    • 2
  • Santiago Zarzuela
    • 3
  1. 1.Matemàtiques, Eix CentralUniversitat Autònoma de Barcelona Matemàtiques, Eix CentralBellaterra, BarcelonaSpain
  2. 2.Departament de MatemàtiquesUniversitat Autònoma de Barcelona Departament de MatemàtiquesBellaterraSpain
  3. 3.Matemàtiques i InformàticaUniversitat de Barcelona Matemàtiques i InformàticaBarcelonaSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-70157-8
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-70156-1
  • Online ISBN 978-3-319-70157-8
  • Series Print ISSN 2297-0304
  • Series Online ISSN 2297-0312
  • Buy this book on publisher's site