University of Minnesota Combinatorics Seminar
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Abstract |
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In this talk, which is a report on joint work with R. Marsh, I will explain how to evaluate Laurent expansions for twisted Plücker coordinates with respect to any seed of the Grassmannian arising from a special class of planar networks called Postnikov diagrams. I will show how these expansions, which are predicted using the theory of cluster algebras, can be calculated using perfect matchings within a bipartite graph dual to the Postnikov diagram. |