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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.