Cluster algebras and singular supports of perverse sheaves

  • Hiraku Nakajima

    Kyoto University, Japan
Cluster algebras and singular supports of perverse  sheaves cover
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Abstract

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.