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Bases for cluster algebras from surfaces

Algebra & Discrete Mathematics

Speaker: Gregg Musiker, University of Minnesota and MSRI
Location: 1147 MSB
Start time: Mon, Oct 22 2012, 4:10PM

In previous work with Ralf Schiffler and Lauren Williams, we have provided combinatorial formulas, involving snake graphs, for Laurent expansions for cluster variables coming from a bordered surface. In this talk, I will discuss extensions of this work involving band graph formulas for closed loops, and how these formulas allow us to construct vector space bases for such algebras. This sequel is also joint work with Schiffler and Williams.