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The flags of Minkowski sums of simplices 10/11/2017

Speaker: Geir Agnarsson, George Mason

Abstract: An interesting class of polytopes that includes various known types of polytopes like hyper-simplices, permutahedra, associahedra and even some matriod base polytopes is formed by the Minkowski sums of simplices in {\mathbb{R}}^n of fixed dimension. These polytopes can further be viewed as a certain building blocks for certain generalized permutahedra. In this talk we discuss the flags of these Minkowski sums and some of their face lattice structure.