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Hall algebras and quantum cluster algebras

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Elie Casbi
Thu, 27/01/2022 - 15:00 - 16:00
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The theory of Hall algebras has known many spectacular developments and applications since the discovery by Ringel of their connection with quantum groups. One important object arising naturally in the study of Hall algebras is the integration map defined by Reineke, which allows to produce certain celebrated wall-crossing identities. In this talk I will first focus on the Dynkin case and show how the integration map can be interpreted in a natural way via the representation theory of quantum affine algebras. I will then explain how this open perspectives towards an analogous interpretation for more general quivers, relying on the framework of quantum cluster algebras. This is an ongoing joint work with Lang Mou.

For zoom details contact Christian Kaiser (

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