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### A peripheral combinatorics of partitions

**Algebra & Discrete Mathematics**

Speaker: | HiroFumi Yamada, Okayama University and UC Davis |

Location: | 1147 MSB |

Start time: | Mon, Oct 8 2012, 1:10PM |

I will define 3 types "weight" for each partition, and show that the products of these weights over partitions coincide. This product turns out to be the Shapovalov determinant for the basic representation of the quantized universal enveloping algebra of affine type A. This is a joint work with M. Ando and T. Suzuki.

PLEASE note the special time!