New topologies are placed on infinite quivers, two of which are homeomorphic to the Baire space for countable vertices, with characterizations of convergence domains for infinite mutation sequences and a special Fraïssé quiver.
Ind-cluster algebras and infinite Grassmannians, May 2025
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A survey of results linking frieze patterns to polygon triangulations, Grassmannian cluster algebras, and Grassmannian cluster categories, with focus on recent links to cluster categories.
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Topologizing infinite quivers and their mutations
New topologies are placed on infinite quivers, two of which are homeomorphic to the Baire space for countable vertices, with characterizations of convergence domains for infinite mutation sequences and a special Fraïssé quiver.
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Frieze patterns in representation theory
A survey of results linking frieze patterns to polygon triangulations, Grassmannian cluster algebras, and Grassmannian cluster categories, with focus on recent links to cluster categories.