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### A partition identity from crystal base theory

**Algebra & Discrete Mathematics**

Speaker: | Jehanne Dousse, Zurich |

Related Webpage: | http://user.math.uzh.ch/dousse/ |

Location: | 2112 MSB |

Start time: | Fri, Sep 29 2017, 4:15PM |

A partition of a positive integer n is a non-increasing sequence of positive integers whose sum is n. A Rogers-Ramanujan type identity is a theorem stating that for all n, the number of partitions of n satisfying some difference conditions equals the number of partitions of n satisfying some congruence conditions. Lepowsky and Wilson were the first to exhibit a connection between Rogers-Ramanujan type partition identities and representation theory in the 1980's, followed by several others. In this talk, we will study a partition identity of Primc which arose from crystal base theory, and we will see how a combinatorial approach allows one to refine and generalise it. This is joint work with Jeremy Lovejoy.

note special day (Fri instead of Mon)