© 2018

Building Bridges Between Algebra and Topology

  • 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


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.



hall algebras triangulated categories brave new algebra support theory idempotent functors

Authors and affiliations

  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

About the editors

Tobias Dyckerhoff is a Junior Fellow at the Hausdorff Center for Mathematics in Bonn, Germany.

Greg Stevenson is a Research Assistant at the Bielefeld University in Germany.

John Greenlees is a Professor at the The University of Sheffield in the United Kingdom.

Wojciech Chachólski is a Professor at the KTH Royal Institute of Technology in Stockholm, Sweden.

Bibliographic information