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Cluster algebras and categorification - Lecture 1

By Claire Amiot

Appears in collections : Winter Braids VIII, Ecoles de recherche

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.

Information about the video

Date of recording 06/02/2018
Date of publication 13/02/2018
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19346703
Cite this video Amiot, Claire (06/02/2018). Cluster algebras and categorification - Lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19346703
URL https://dx.doi.org/10.24350/CIRM.V.19346703

Domain(s)

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

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