【115/5/21】15:20-16:10 章源慶 副教授 (國立成功大學數學系)
發佈日期 :
2026-05-14
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| Time | 2026-5-21 15:20-16:10 |
| Venue | 數學館1樓 31106 教室 |
| Speaker | 章源慶 副教授 (國立成功大學數學系) |
| Title | On Dualities in Gaudin Models with Irregular Singularities |
| Abstract | The Gaudin model was first introduced by Michel Gaudin to describe a completely integrable quantum spin chain. Since then, it has been reformulated using the machinery of vertex algebras and has garnered considerable attention. In this talk, I will describe the Gaudin models with irregular singularities for general linear Lie (super)algebras. My main goal is to establish a duality for the pair (g_1, g_2) in the models, where g_1 is any general linear Lie algebra, and g_2 is any general linear Lie superalgebra. The upshot is that the duality yields an equivalence between the actions of the Gaudin algebras with irregular singularities for g_1 and g_2 on a Fock space. I will also give an application and the classical version of the duality. This talk is based on joint work with Ngau Lam. |
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