Minimal presentations of shifted numerical monoidsAlgebra & Discrete Mathematics
|Speaker:||Christopher O'Neill, UC Davis|
|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.