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### Minimal presentations of shifted numerical monoids

**Algebra & Discrete Mathematics**

Speaker: | Christopher O'Neill, UC Davis |

Related Webpage: | https://www.math.ucdavis.edu/~coneill/ |

Location: | 1147 MSB |

Start time: | Mon, Sep 26 2016, 4:10PM |

Consider the family of numerical monoids S_n = <n, n + r_1, ..., n + r_k > obtained by varying n. In this talk, we exhibit periodic behavior of the minimal presentations of S_n when n is sufficiently large. As a consequence, we obtain eventual periodicity results for several arithmetic quantities arising in factorization theory.