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### Combinatorics and Geometry in Noncommutative Variables

**Colloquium**

Speaker: | Anne Schilling, Department of Mathematics, UC Davis |

Location: | 1147 MSB |

Start time: | Mon, Apr 19 2010, 4:10PM |

There exists an explicit combinatorial formula for the characters of the symmetric group in terms of ribbon tableaux, called the Murnaghan-Nakayama rule. A simple proof of this rule due to Fomin and Greene uses symmetric functions in noncommutative variables. In this talk we will investigate the power of this approach and also show how it can be applied to find a Murnaghan-Nakayama rule associated to the affine Grassmannian and explicit formulas for fusion/quantum cohomology coefficients.