Discrete CATS Seminar

02/25/2019 - 2:00pm
745 Patterson Office Tower
Speaker(s) / Presenter(s): 
McCabe Olsen, Ohio State

Speaker:  McCabe Olsen, Ohio State University

Title:  Signed Birkhoff polytopes and the orthant-lattice preservation property


Given a d-dimensional lattice polytope P, we say that P has the orthant-lattice preservation property (OLP) if the subpolytope obtained by restriction to any orthant is a lattice polytope. While this property feels somewhat contrived, it can actually be quite useful in verification of discrete geometric properties of P. In this talk, we will discuss a number of results for the existence of triangulation and the integer decomposition property for reflexive OLP polytopes. One such polytope which fits into the program is a type-B analogue of the Birkhoff polytope and its dual polytope, the investigation of which led to interest in this property. This is based on joint work with Florian Kohl (Aalto University).

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