Building bridges between algebra and topology / Wojciech Chachólski, Tobias Dyckerhoff, John Greenlees, Greg Stevenson ; editors for this volume: Dolors Herbera, Wolfgang Pitsch, Santiago Zarzuela.
Chachólski, Wojciech, 1968- author.; Dyckerhoff, Tobias, author.; Greenlees, J. P. C. (John Patrick Campbell), 1959- author.; Stevenson, Greg, author.; Herbera, Dolors, editor.; Pitsch, Wolfgang, editor.; Zarzuela, Santiago, editor.
2018
QA169
Available Online

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Title Building bridges between algebra and topology / Wojciech Chachólski, Tobias Dyckerhoff, John Greenlees, Greg Stevenson ; editors for this volume: Dolors Herbera, Wolfgang Pitsch, Santiago Zarzuela.
ISBN 9783319701578 (electronic book)
3319701576 (electronic book)
9783319701561
DOI https://doi.org/10.1007/978-3-319-70157-8
Published Cham, Switzerland : Birkhäuser, 2018.
Language English
Description 1 online resource (xiii, 225 pages).
Item Number 10.1007/978-3-319-70157-8 doi
Call Number QA169
Dewey Decimal Classification 512/.64
Summary 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. .
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed April 4, 2018).
Added Author Chachólski, Wojciech, 1968- author.
Dyckerhoff, Tobias, author.
Greenlees, J. P. C. (John Patrick Campbell), 1959- author.
Stevenson, Greg, author.
Herbera, Dolors, editor.
Pitsch, Wolfgang, editor.
Zarzuela, Santiago, editor.
Series Advanced courses in mathematics, CRM Barcelona.
Available in Other Form Print version: 9783319701561
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Higher Categorical Aspects of Hall Algebras
Support Theory for Triangulated Categories
Homotopy Invariant Commutative Algebra over Fields
Idempotent Symmetries in Algebra and Topology.

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