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Snake Graphs for Graph LP Algebras

Elizabeth Kelley (University of Illinois Urbana-Champaign)
Wednesday 24 January 2024 16:15–17:15 Koll. G3 (1532-218)
Mathematics Seminar

Graph LP algebras are a generalization of cluster algebras introduced by Lam and Pylyavskyy. In joint work with Esther Banaian, Sunita Chepuri, and Sylvester W Zhang, we provide a combinatorial proof of positivity for certain cluster variables in these algebras. Our proof uses a hypergraph generalization of snake graphs, which were introduced by Musiker, Schiffler, and Williams to prove positivity for cluster algebras from surfaces. In this talk, I will explain our construction without assuming prior knowledge about cluster algebras or snake graphs.

Organised by: AarHomAlg
Contact: Raphael, Amit Revised: 08.02.2024