Bridging affine vertex algebras and affine Springer fibres | Vidéo | Carmin.tv

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Bridging affine vertex algebras and affine Springer fibres

Appears in collection : Geometric representation theory in the Langlands program - Thematic month week 2 / Théorie géométrique des représentations dans le programme de Langlands - Mois thématique sem. 2

In this talk, we explain a program which aims to build relationships between affine Springer theory and representations of simple affine vertex algebras. We will discuss some explicit correspondence for admissible levels, and formulate some new conjectures about representations of simple affine vertex algebras at integer nonadmissible levels and their associated varieties.

Information about the video

Date of recording 02/02/2026
Date of publication 03/03/2026
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.20451203
Cite this video Shan, Peng (02/02/2026). Bridging affine vertex algebras and affine Springer fibres. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20451203
URL https://dx.doi.org/10.24350/CIRM.V.20451203

Domain(s)

Representation Theory

Bibliography

Shan, Peng, Dan Xie, and Wenbin Yan. “Modularity for $\mathcal{W}$-Algebras and Affine Springer Fibres.” arXiv:2404.00760. Preprint, arXiv, March 31, 2024. - https://doi.org/10.48550/arXiv.2404.00760
Shan, Peng, Wenbin Yan, and Qixian Zhao. “Cyclotomic Level Maps and Associated Varieties of Simple Affine Vertex Algebras.” arXiv:2507.09254. Preprint, arXiv, July 12, 2025. - https://doi.org/10.48550/arXiv.2507.092

MSC codes

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