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Presented By: Department of Mathematics

Combinatorics Seminar

Gale-Robinson quivers, representations, and combinatorial formulas

Gale-Robinson sequences were one of the first examples of the Laurent phenomenon. Moreover, the associated quivers relate to the dimer model from physics. We investigate a family of representations of these quivers that are geared towards providing concrete information about the corresponding cluster algebras. In this way, we provide a representation theoretic explanation for known combinatorial formulas for the Gale-Robinson sequence and also obtain similar formulas for several other cluster variables. This is joint work with Jerzy Weyman.
Speaker(s): Max Glick (Ohio State U.)

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