Cluster algebras and categorification - Lecture 2 | Vidéo | Carmin.tv

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Cluster algebras and categorification - Lecture 2

De Claire Amiot

Apparaît dans la collection : Winter Braids VIII

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.

Informations sur la vidéo

Date de captation 07/02/2018
Date de publication 13/02/2018
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19347503
Citer cette vidéo Amiot, Claire (07/02/2018). Cluster algebras and categorification - Lecture 2. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19347503
URL https://dx.doi.org/10.24350/CIRM.V.19347503

Domaine(s)

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

Codes MSC

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