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Cluster algebras
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Organizers
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Prof. Karin Baur, Lisa Lamberti
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Place
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ML H.34.3
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Time
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Wednesday, 09.15-11.00
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Beginning
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16.09.2009
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Contact
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Prof. Karin Baur (baur@math.ethz.ch
), Lisa Lamberti (lisa.lamberti@math.ethz.ch)
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Educational level
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Master level
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Description
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The aim of this seminar is to explore cluster algebras and their link to quiver representation, following the spirit of categorification, by reading the article: "Cluster algebras, quiver representations and triangulated categories" written by Bernhard Keller.
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Literature
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- [ASS]: Assem, Simson, Skowronski, Elements of the Representation Theory of Associative Algebras, Cambridge University Press, 2006
- K.Baur, Cluster categories, m-cluster categories and diagonals in polygons (http://www.math.ethz.ch/~baur/Articles/Grenoble/Grenoble09.pdf)
- [BM]: A. Buan and R. Marsh, Cluster-tilting theory (http://www.maths.leeds.ac.uk/~marsh/research_articles/pp21.pdf)
- [BMRRT]: A. Buan, R. Marsh, M. Reineke, I. Reiten, G.Todorov, Tilting theory and cluster combinatorics (http://arxiv.org/pdf/math/0402054)
- [FR]: S. Formin, N. Reading, Root systems and generalized associahedra (http://arxiv.org/pdf/math/0505518)
- Bernhard Keller, Cluster algebras, quiver representations and triangulated categories, May 2009 (http://front.math.ucdavis.edu/0807.1960)
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Scheduling
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Plan of talks
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Further information
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The number of participants is limited.
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