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Giulia Codenotti: Hollow polytopes of large width

Tid: On 2019-05-15 kl 10.15 - 11.15

Plats: Room 3418, Lindstedtsvägen 25. Department of Mathematics, KTH

Föreläsare: Giulia Codenotti, Freie Universität Berlin

Abstract: The goal of this talk is to present the construction of hollow lattice polytopes of width larger than their dimension. After defining lattice polytopes and their relevant properties, such as width and hollowness, we will show how taking a direct sum of certain polytopes yields a hollow lattice polytope (resp. a hollow lattice simplex) of dimension 14 (resp. 404) and of width 15 (resp. 408). They are the first known hollow lattice polytopes of width larger than dimension. Asymptotic results which can be obtained with this method will also be presented.