English
Cluster algebras and categorification - Lecture 1
Post-edited
Auteurs : Amiot, Claire (Auteur de la Conférence)
CIRM (Editeur )
16G20 - Representations of quivers and partially ordered sets
18E30 - Derived categories, triangulated categories
13F60 - Cluster algebras
16E35 - Derived categories in associative algebra
CIRM (Editeur )
Résumé :
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
Codes MSC : 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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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 13/02/2018 Date de captation : 06/02/2018 Sous collection : Research School arXiv category : Representation Theory ; Rings and Algebras ; Combinatorics Domaine : Algebra ; Combinatorics Format : MP4 (.mp4) - HD Durée : 01:03:16 Audience : Researchers ; Graduate Students Download : https://videos.cirm-math.fr/2018-02-06_Amiot_Part1.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Winter Braids VIIIOrganisateurs de la rencontre : Audoux, Benjamin ; Bellingeri, Paolo ; Florens, Vincent ; Meilhan, Jean-Baptiste ; Wagner, Emmanuel Dates : 05/02/2018 - 09/02/2018 Année de la rencontre : 2018 URL Congrès : https://conferences.cirm-math.fr/1892.html
Données de citation
DOI : 10.24350/CIRM.V.19346703Citer cette vidéo: Amiot, Claire (2018). Cluster algebras and categorification - Lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19346703 URI : http://dx.doi.org/10.24350/CIRM.V.19346703 |
Voir aussi
- [Multi angle] Cluster algebras and categorification - Lecture 3 / Auteur de la Conférence Amiot, Claire.
- [Multi angle] Cluster algebras and categorification - Lecture 2 / Auteur de la Conférence Amiot, Claire.
Bibliographie
- 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
