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Cluster algebras and categorification - Lecture 3
Multi angle
Authors : Amiot, Claire (Author of the conference)
CIRM (Publisher )
16G20 - Representations of quivers and partially ordered sets
18E30 - Derived categories, triangulated categories
13F60 - Cluster algebras
16E35 - Derived categories in associative algebra
CIRM (Publisher )
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Abstract :
In this course I will first introduce cluster algebras associated with a triangulated surface. I will then focus on representation of quivers, and show the strong link between cluster combinatorics and representation theory. The aim will be to explain additive categorification of cluster algebras in this context. All the notions will be illustrated by examples.
Keywords : cluster category; cluster-tilting theory
MSC Codes : Keywords : cluster category; cluster-tilting theory
16G20 - Representations of quivers and partially ordered sets
18E30 - Derived categories, triangulated categories
13F60 - Cluster algebras
16E35 - Derived categories in associative algebra
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 13/02/2018 Conference Date : 08/02/2018 Subseries : Research School arXiv category : Combinatorics ; Rings and Algebras ; Representation Theory Mathematical Area(s) : Algebra ; Combinatorics Format : MP4 (.mp4) - HD Video Time : 00:59:24 Targeted Audience : Researchers ; Graduate Students Download : https://videos.cirm-math.fr/2018-02-08_Amiot_Part3.mp4 
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Information on the Event
Event Title : Winter Braids VIIIEvent Organizers : Audoux, Benjamin ; Bellingeri, Paolo ; Florens, Vincent ; Meilhan, Jean-Baptiste ; Wagner, Emmanuel Dates : 05/02/2018 - 09/02/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1892.html
Citation Data
DOI : 10.24350/CIRM.V.19347603Cite this video as: Amiot, Claire (2018). Cluster algebras and categorification - Lecture 3. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19347603 URI : http://dx.doi.org/10.24350/CIRM.V.19347603 |
See Also
- [Multi angle] Cluster algebras and categorification - Lecture 2 / Author of the conference Amiot, Claire.
- [Post-edited] Cluster algebras and categorification - Lecture 1 / Author of the conference Amiot, Claire.
Bibliography
- Fomin, S., Shapiro, M., & Thurston, D. (2008). Cluster algebras and triangulated surfaces. I: Cluster complexes. Acta Mathematica, 201(1), 83-146 - https://doi.org/10.1007/s11511-008-0030-7
- Fomin, S., & Zelevinsky, A. (2002). Cluster algebras. I: Foundations. Journal of the American Mathematical Society, 15(2), 497-529 - https://doi.org/10.1090/S0894-0347-01-00385-X
- Keller, B. (2010). Cluster algebras, quiver representations and triangulated categories. In T. Holm, P. Jorgensen, & R. Rouquier (Eds.), Triangulated categories (pp. 76-160). Cambridge: Cambridge University Press - http://www.arxiv.org/abs/0807.1960
