报告摘要:
| In this talk, we give a review of cluster algebras. We present and compare different bases of cluster algebras: the triangular bases (dual canonical bases) and generic bases (dual semicanonical bases) arising from representation theory and categorification, and the theta bases arising from the scattering diagrams in the study of mirror symmetry. All these bases are parametrized by the tropical points of the Langlands dual cluster varieties.
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