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Scattering diagrams for generalized cluster algebras

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CAR - Cluster algebras and representation theory

Generalized cluster algebras of Chekhov and Shapiro share with ordinary cluster algebras some structural properties such as the parametrization of cluster monomials by their g-vectors. I will construct scattering diagrams for generalized cluster algebras and derive these properties through scattering diagrams. As a result, we obtain certain positivity for cluster monomials and more generally for theta functions. I will also discuss some examples coming from representation theory.

This talk is part of the Isaac Newton Institute Seminar Series series.

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