Unimodular triangulations of dilated empty simplices

An empty simplex is a lattice simplex with no lattice point except for its vertices. In my talk, based on a classification result by Batyrev and Hofscheier (2010) and with being inspired by the study on dilated 3-polytopes by Santos and Ziegler (2013), the existence of unimodular triangulations together with the integer decomposition property for odd dimensional dilated empty simplices will be discussed. No special knowledge is required to understand my talk.