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Snake Graphs for Graph LP Algebras

Sunita Chepuri, University of Puget Sound
Wednesday, October 18, 2023 - 3:30pm to 5:00pm
PDL C-401 and via Zoom Link:
Sunita Chepuri
Sunita Chepuri


In 2012, Lam and Pylyavskyy introduced Laurent phenomenon (LP) algebras.  These algebras are a generalization of cluster algebras where the Laurent phenomenon still holds.  However, it is not known if positivity holds for these algebras.  In this talk, we define graph LP algebras, a type of LP algebra that can be defined combinatorially using a graph.  We then describe a snake graph construction that allows us to find a combinatorial expansion for a large class of the cluster variables. Our construction proves positivity for certain cluster variables.  This is joint work with Esther Banian, Elizabeth Kelley, and Sylvester Zhang.

Note: This talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10.

Join Zoom Meeting:
Meeting ID: 915 4733 5974