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E-BookPDF1 - PDF WatermarkE-Book
225 Seiten
Englisch
Springer International Publishingerschienen am31.03.20181st ed. 2018
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 area; 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.

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Verfügbare Formate
BuchKartoniert, Paperback
EUR35,30
E-BookPDF1 - PDF WatermarkE-Book
EUR35,30

Produkt

KlappentextThis 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 area; 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.

Details
Weitere ISBN/GTIN9783319701578
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2018
Erscheinungsdatum31.03.2018
Auflage1st ed. 2018
Seiten225 Seiten
SpracheEnglisch
IllustrationenXIII, 225 p.
Artikel-Nr.5849280
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
Higher Categorical Aspects of Hall Algebras.- Support Theory for Triangulated Categories.- Homotopy Invariant Commutative Algebra over Fields.- Idempotent Symmetries in Algebra and Topology.mehr

Autor

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.
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