Cluster algebras and the amplituhedron - definition | Vidéo | Carmin.tv

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Cluster algebras and the amplituhedron - definition

By Lauren K. Williams

Appears in collection : Current trends in representation theory, cluster algebras and geometry / Théorie des représentations, algèbres amassées et géométrie

I will give an introduction to the amplituhedron, a geometric object generalizing the positive Grassmannian, which was introduced by Arkani-Hamed and Trnka in the context of scattering amplitudes in N=4 super Yang Mills theory. I will focus in particular on its connections to cluster algebras, including the cluster adjacency conjecture. (Based on joint works with multiple coauthors, especially Evan-Zohar, Lakrec, Parisi, Sherman-Bennett, and Tessler.)

Information about the video

Date of recording 27/11/2023
Date of publication 20/12/2023
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20116303
Cite this video Williams, Lauren K. (27/11/2023). Cluster algebras and the amplituhedron - definition. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20116303
URL https://dx.doi.org/10.24350/CIRM.V.20116303

Domain(s)

Combinatorics

Bibliography

ARKANI-HAMED, Nima et TRNKA, Jaroslav. The amplituhedron. Journal of High Energy Physics, 2014, vol. 2014, no 10, p. 1-33. - https://arxiv.org/abs/1312.2007
FOMIN, S., WILLIAMS, L., et ZELEVINSKY, A. Introduction to cluster algebras. chapters 1-3, preprint (2016). arXiv preprint arXiv:1608.05735, 2016. - https://arxiv.org/abs/1608.05735
PARISI, Matteo, SHERMAN-BENNETT, Melissa, et WILLIAMS, Lauren. The m= 2 amplituhedron and the hypersimplex: signs, clusters, triangulations, Eulerian numbers. arXiv preprint arXiv:2104.08254, 2021. - https://arxiv.org/abs/2104.08254
WILLIAMS, Lauren K. The positive Grassmannian, the amplituhedron, and cluster algebras. arXiv preprint arXiv:2110.10856, 2021. - https://arxiv.org/abs/2110.10856
EVEN-ZOHAR, Chaim, LAKREC, Tsviqa, PARISI, Matteo, et al. Cluster algebras and Tilings for the m= 4 amplituhedron. arXiv preprint arXiv:2310.17727, 2023. - https://arxiv.org/abs/2310.17727

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