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| Softcover ISBN: | 978-1-4704-5131-8 |
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| Softcover ISBN: | 978-1-4704-5131-8 |
| Product Code: | CONM/758 |
| List Price: | $120.00 |
| MAA Member Price: | $108.00 |
| AMS Member Price: | $96.00 |
| eBook ISBN: | 978-1-4704-5699-3 |
| Product Code: | CONM/758.E |
| List Price: | $120.00 |
| MAA Member Price: | $108.00 |
| AMS Member Price: | $96.00 |
| Softcover ISBN: | 978-1-4704-5131-8 |
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Book DetailsContemporary MathematicsVolume: 758; 2020; 298 ppMSC: Primary 16; 18
This volume contains the proceedings of the Workshop and 18th International Conference on Representations of Algebras (ICRA 2018) held from August 8–17, 2018, in Prague, Czech Republic.
It presents several themes of contemporary representation theory together with some new tools, such as stable \(\infty\)-categories, stable derivators, and contramodules.
In the first part, expanded lecture notes of four courses delivered at the workshop are presented, covering the representation theory of finite sets with correspondences, geometric theory of quiver Grassmannians, recent applications of contramodules to tilting theory, as well as symmetries in the representation theory over an abstract stable homotopy theory.
The second part consists of six more-advanced papers based on plenary talks of the conference, presenting selected topics from contemporary representation theory: recollements and purity, maximal green sequences, cohomological Hall algebras, Hochschild cohomology of associative algebras, cohomology of local selfinjective algebras, and the higher Auslander–Reiten theory studied via homotopy theory.
ReadershipGraduate students and research mathematicians interested in representation theory of algebras.
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Table of Contents
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Workshop lecture notes
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Silvana Bazzoni — Contramodules and their applications to tilting theory
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Serge Bouc — Representations of finite sets and correspondences
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Giovanni Cerulli Irelli — Three lectures on quiver Grassmannians
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Moritz Rahn — Higher symmetries in abstract stable homotopy theories
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Conference proceedings papers
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Karin Erdmann — Cohomology of some local selfinjective algebras
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H. Franzen and M. Reineke — On the cohomological Hall algebra of the Kronecker quiver
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X. H. Fu and I. Herzog — The recollements of purity
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Gustavo Jasso — Higher Auslander algebras of type $\mathbb {A}$ and the higher Waldhausen $\mathsf {S}$-constructions
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Bernhard Keller and Laurent Demonet — A survey on maximal green sequences
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Andrea Solotar — The Gerstenhaber bracket in Hochschild cohomology: Methods and examples
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
This volume contains the proceedings of the Workshop and 18th International Conference on Representations of Algebras (ICRA 2018) held from August 8–17, 2018, in Prague, Czech Republic.
It presents several themes of contemporary representation theory together with some new tools, such as stable \(\infty\)-categories, stable derivators, and contramodules.
In the first part, expanded lecture notes of four courses delivered at the workshop are presented, covering the representation theory of finite sets with correspondences, geometric theory of quiver Grassmannians, recent applications of contramodules to tilting theory, as well as symmetries in the representation theory over an abstract stable homotopy theory.
The second part consists of six more-advanced papers based on plenary talks of the conference, presenting selected topics from contemporary representation theory: recollements and purity, maximal green sequences, cohomological Hall algebras, Hochschild cohomology of associative algebras, cohomology of local selfinjective algebras, and the higher Auslander–Reiten theory studied via homotopy theory.
Graduate students and research mathematicians interested in representation theory of algebras.
-
Workshop lecture notes
-
Silvana Bazzoni — Contramodules and their applications to tilting theory
-
Serge Bouc — Representations of finite sets and correspondences
-
Giovanni Cerulli Irelli — Three lectures on quiver Grassmannians
-
Moritz Rahn — Higher symmetries in abstract stable homotopy theories
-
Conference proceedings papers
-
Karin Erdmann — Cohomology of some local selfinjective algebras
-
H. Franzen and M. Reineke — On the cohomological Hall algebra of the Kronecker quiver
-
X. H. Fu and I. Herzog — The recollements of purity
-
Gustavo Jasso — Higher Auslander algebras of type $\mathbb {A}$ and the higher Waldhausen $\mathsf {S}$-constructions
-
Bernhard Keller and Laurent Demonet — A survey on maximal green sequences
-
Andrea Solotar — The Gerstenhaber bracket in Hochschild cohomology: Methods and examples
