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Orbifold Diagrams, Dimer Quivers and Associated Categories

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CARW03 - Interdisciplinary applications of cluster algebras

Alternating strand diagrams (as introduced by Postnikov) on the disk have been used in the study of the coordinate ring of the Grassmannian. In particular,  they give rise to clusters of the Grassmannian cluster algebras (Scott) or to cluster-tilting objects of the  Grassmannian cluster categories of Jensen-King-Su (Baur-King-Marsh).  On the other hand, orbifolds have also been related to cluster structures as Paquette-Schiffler or Chekhov-Shapiro for a geometric approach. Here we introduce orbifold diagrams and show how to associate quivers with potentials to them.  This is joint work with Andrea Pasquali and Diego Velasco.

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

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