Triangulated categories /:
"Over the last few decades triangulated categories have become increasingly important, to the extent that they can now be viewed as a unifying theory underlying major parts of modern mathematics. This collection of survey articles, written by leading experts, covers fundamental aspects of trian...
Gespeichert in:
| Weitere Verfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2010.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
375. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "Over the last few decades triangulated categories have become increasingly important, to the extent that they can now be viewed as a unifying theory underlying major parts of modern mathematics. This collection of survey articles, written by leading experts, covers fundamental aspects of triangulated categories, as well as applications in algebraic geometry, representation theory, commutative algebra, microlocal analysis and algebraic topology. These self-contained articles are a useful introduction for graduate students entering the field and a valuable reference for experts"--Provided by publisher "This volume grew out of a Workshop on Triangulated Categories held at the University of Leeds in August 2006. The meeting, a Satellite of the International Congress of Mathematicians 2006, has been generously supported by the Leverhulme Foundation (via the network Algebras, Representations and Applications), the London Mathematical Society (Conference Grant Ref. 1438) and the University of Leeds. Over the past decades, triangulated categories have made their way into many different parts of mathematics, to the extent that today, they can be viewed as a unifying theory underlying major parts of modern mathematics. The Leeds workshop has brought together researchers from many parts of mathematics who all use triangulated methods but would not usually meet at more specialized conferences, with the aim to promote cross fertilization leading to new applications of triangulated categories. The present book collects surveys by leading experts reflecting a broad range of important topics covered at the workshop. However, it is not a proceedings volume recording precisely the talks given at the conference and it does not claim to be a comprehensive coverage of all the numerous applications of triangulated categories throughout mathematics"--Provided by publisher |
| Beschreibung: | 1 online resource (vii, 463 pages) : illustrations |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9781139127387 1139127381 9781139114554 1139114557 9781139107075 1139107070 9781139116725 113911672X 1107207614 9781107207615 1283295784 9781283295789 1139122460 9781139122467 9786613295781 6613295787 1139112368 9781139112369 |
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| 520 | |a "This volume grew out of a Workshop on Triangulated Categories held at the University of Leeds in August 2006. The meeting, a Satellite of the International Congress of Mathematicians 2006, has been generously supported by the Leverhulme Foundation (via the network Algebras, Representations and Applications), the London Mathematical Society (Conference Grant Ref. 1438) and the University of Leeds. Over the past decades, triangulated categories have made their way into many different parts of mathematics, to the extent that today, they can be viewed as a unifying theory underlying major parts of modern mathematics. The Leeds workshop has brought together researchers from many parts of mathematics who all use triangulated methods but would not usually meet at more specialized conferences, with the aim to promote cross fertilization leading to new applications of triangulated categories. The present book collects surveys by leading experts reflecting a broad range of important topics covered at the workshop. However, it is not a proceedings volume recording precisely the talks given at the conference and it does not claim to be a comprehensive coverage of all the numerous applications of triangulated categories throughout mathematics"--Provided by publisher | ||
| 505 | 0 | 0 | |t Triangulated categories : definitions, properties, and examples / |r Thorsten Holm and Peter Jørgensen -- |t Cohomology over complete intersections via exterior algebras / |r Luchezar L. Avramov and Srikanth B. Iyengar -- |t Cluster algebras, quiver representations and triangulated categories / |r Bernhard Keller -- |t Localization theory for triangulated categories / |r Henning Krause -- |t Homological algebra in bivariant K-theory and other triangulated categories. I / |r Ralf Meyer and Ryszard Nest -- |t Derived categories and Grothendieck duality / |r Amnon Neeman -- |t Derived categories and algebraic geometry / |r Raphaël Rouquier -- |t Triangulated categories for the analysts / |r Pierre Schapira -- |t Algebraic versus topological triangulated categories / |r Stefan Schwede -- |t Derived categories of coherent sheaves on algebraic varieties / |r Yukinobu Toda -- |t Rigid dualizing complexes via differential graded algebras (survey) / |r Amnon Yekutieli. |
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| author2 | Holm, Thorsten, 1965- Jørgensen, Peter, 1970- Rouquier, Raphaël |
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| author_GND | http://id.loc.gov/authorities/names/n2010017148 http://id.loc.gov/authorities/names/n2010017161 |
| author_additional | Thorsten Holm and Peter Jørgensen -- Luchezar L. Avramov and Srikanth B. Iyengar -- Bernhard Keller -- Henning Krause -- Ralf Meyer and Ryszard Nest -- Amnon Neeman -- Raphaël Rouquier -- Pierre Schapira -- Stefan Schwede -- Yukinobu Toda -- Amnon Yekutieli. |
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| contents | Triangulated categories : definitions, properties, and examples / Cohomology over complete intersections via exterior algebras / Cluster algebras, quiver representations and triangulated categories / Localization theory for triangulated categories / Homological algebra in bivariant K-theory and other triangulated categories. I / Derived categories and Grothendieck duality / Derived categories and algebraic geometry / Triangulated categories for the analysts / Algebraic versus topological triangulated categories / Derived categories of coherent sheaves on algebraic varieties / Rigid dualizing complexes via differential graded algebras (survey) / |
| ctrlnum | (OCoLC)768771192 |
| dewey-full | 512/.62 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.62 |
| dewey-search | 512/.62 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn768771192 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:18:09Z |
| institution | BVB |
| isbn | 9781139127387 1139127381 9781139114554 1139114557 9781139107075 1139107070 9781139116725 113911672X 1107207614 9781107207615 1283295784 9781283295789 1139122460 9781139122467 9786613295781 6613295787 1139112368 9781139112369 |
| language | English |
| oclc_num | 768771192 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (vii, 463 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Triangulated categories / edited by Thorsten Holm, Peter Jørgensen, Raphaël Rouquier. Cambridge ; New York : Cambridge University Press, 2010. 1 online resource (vii, 463 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 375 Includes bibliographical references. "Over the last few decades triangulated categories have become increasingly important, to the extent that they can now be viewed as a unifying theory underlying major parts of modern mathematics. This collection of survey articles, written by leading experts, covers fundamental aspects of triangulated categories, as well as applications in algebraic geometry, representation theory, commutative algebra, microlocal analysis and algebraic topology. These self-contained articles are a useful introduction for graduate students entering the field and a valuable reference for experts"--Provided by publisher "This volume grew out of a Workshop on Triangulated Categories held at the University of Leeds in August 2006. The meeting, a Satellite of the International Congress of Mathematicians 2006, has been generously supported by the Leverhulme Foundation (via the network Algebras, Representations and Applications), the London Mathematical Society (Conference Grant Ref. 1438) and the University of Leeds. Over the past decades, triangulated categories have made their way into many different parts of mathematics, to the extent that today, they can be viewed as a unifying theory underlying major parts of modern mathematics. The Leeds workshop has brought together researchers from many parts of mathematics who all use triangulated methods but would not usually meet at more specialized conferences, with the aim to promote cross fertilization leading to new applications of triangulated categories. The present book collects surveys by leading experts reflecting a broad range of important topics covered at the workshop. However, it is not a proceedings volume recording precisely the talks given at the conference and it does not claim to be a comprehensive coverage of all the numerous applications of triangulated categories throughout mathematics"--Provided by publisher Triangulated categories : definitions, properties, and examples / Thorsten Holm and Peter Jørgensen -- Cohomology over complete intersections via exterior algebras / Luchezar L. Avramov and Srikanth B. Iyengar -- Cluster algebras, quiver representations and triangulated categories / Bernhard Keller -- Localization theory for triangulated categories / Henning Krause -- Homological algebra in bivariant K-theory and other triangulated categories. I / Ralf Meyer and Ryszard Nest -- Derived categories and Grothendieck duality / Amnon Neeman -- Derived categories and algebraic geometry / Raphaël Rouquier -- Triangulated categories for the analysts / Pierre Schapira -- Algebraic versus topological triangulated categories / Stefan Schwede -- Derived categories of coherent sheaves on algebraic varieties / Yukinobu Toda -- Rigid dualizing complexes via differential graded algebras (survey) / Amnon Yekutieli. Print version record. English. Triangulated categories. http://id.loc.gov/authorities/subjects/sh2010007133 Catégories triangulées. MATHEMATICS Algebra Intermediate. bisacsh Triangulated categories fast Topologische Kategorie gnd http://d-nb.info/gnd/4738591-1 Triangulated categories Holm, Thorsten, 1965- https://id.oclc.org/worldcat/entity/E39PCjFP94DTKCwFwg4PwC3qgq http://id.loc.gov/authorities/names/n2010017148 Jørgensen, Peter, 1970- https://id.oclc.org/worldcat/entity/E39PCjrpkrDDJrMCHM6yhr3KQy http://id.loc.gov/authorities/names/n2010017161 Rouquier, Raphaël. has work: Triangulated categories (Text) https://id.oclc.org/worldcat/entity/E39PCFQhWmXPMGvyxxx4j6YPpP https://id.oclc.org/worldcat/ontology/hasWork Print version: Triangulated categories. Cambridge ; New York : Cambridge University Press, 2010 9780521744317 (DLC) 2010012362 (OCoLC)607985602 London Mathematical Society lecture note series ; 375. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=399272 Volltext |
| spellingShingle | Triangulated categories / London Mathematical Society lecture note series ; Triangulated categories : definitions, properties, and examples / Cohomology over complete intersections via exterior algebras / Cluster algebras, quiver representations and triangulated categories / Localization theory for triangulated categories / Homological algebra in bivariant K-theory and other triangulated categories. I / Derived categories and Grothendieck duality / Derived categories and algebraic geometry / Triangulated categories for the analysts / Algebraic versus topological triangulated categories / Derived categories of coherent sheaves on algebraic varieties / Rigid dualizing complexes via differential graded algebras (survey) / Triangulated categories. http://id.loc.gov/authorities/subjects/sh2010007133 Catégories triangulées. MATHEMATICS Algebra Intermediate. bisacsh Triangulated categories fast Topologische Kategorie gnd http://d-nb.info/gnd/4738591-1 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh2010007133 http://d-nb.info/gnd/4738591-1 |
| title | Triangulated categories / |
| title_alt | Triangulated categories : definitions, properties, and examples / Cohomology over complete intersections via exterior algebras / Cluster algebras, quiver representations and triangulated categories / Localization theory for triangulated categories / Homological algebra in bivariant K-theory and other triangulated categories. I / Derived categories and Grothendieck duality / Derived categories and algebraic geometry / Triangulated categories for the analysts / Algebraic versus topological triangulated categories / Derived categories of coherent sheaves on algebraic varieties / Rigid dualizing complexes via differential graded algebras (survey) / |
| title_auth | Triangulated categories / |
| title_exact_search | Triangulated categories / |
| title_full | Triangulated categories / edited by Thorsten Holm, Peter Jørgensen, Raphaël Rouquier. |
| title_fullStr | Triangulated categories / edited by Thorsten Holm, Peter Jørgensen, Raphaël Rouquier. |
| title_full_unstemmed | Triangulated categories / edited by Thorsten Holm, Peter Jørgensen, Raphaël Rouquier. |
| title_short | Triangulated categories / |
| title_sort | triangulated categories |
| topic | Triangulated categories. http://id.loc.gov/authorities/subjects/sh2010007133 Catégories triangulées. MATHEMATICS Algebra Intermediate. bisacsh Triangulated categories fast Topologische Kategorie gnd http://d-nb.info/gnd/4738591-1 |
| topic_facet | Triangulated categories. Catégories triangulées. MATHEMATICS Algebra Intermediate. Triangulated categories Topologische Kategorie |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=399272 |
| work_keys_str_mv | AT holmthorsten triangulatedcategories AT jørgensenpeter triangulatedcategories AT rouquierraphael triangulatedcategories |