Cluster algebras and singular supports of perverse sheaves
classification
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basecanonicalclusterperversesheavessingularsupportsalgebra
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We propose an approach to Geiss-Leclerc-Schroer's conjecture on the cluster algebra structure on the coordinate ring of a unipotent subgroup and the dual canonical base. It is based on singular supports of perverse sheaves on the space of representations of a quiver, which give the canonical base.
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