Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
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Minuscule chamber modules and their Gelfand--Tsetlin bases
In recent years, the representation theory of shifted quantum groups has provided a useful framework for the study of monoidal categorification of cluster algebras in the sense of Hernandez—Leclerc. This formalism relates graded traces attached to representations to exchange relations in a cluster algebra. We present a combinatorial model for $q$-characters of certain objects in the shifted category $\mathcal{O}$, called chamber modules.
This talk is based on joint work with Artem Kalmykov, Joel Kamnitzer, Théo Pinet and Alex Weekes.
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