Matjaz Konvalinka: The Boolean growth polytopes and their triangulations

The Boolean growth polytopes and their triangulations

Matjaz Konvalinka (UL FMF)

Abstract: I will present a new object, the Boolean growth polytope, which generalizes both Stanley's order polytope and the polytope of alternating sign matrices (and many of the classes of alternating sign matrices which are symmetric in some way). I will present some of its properties, like its vertices, facets, volume and Ehrhart polynomial. The proof of the last two is via an explicit triangulation. This is joint work with Roger Behrend.