Title:  Classification of Ehrhart polynomials of integral simplices

Abstract:  The Ehrhart polynomials of an integral convex polytope is the counting function of the integer points contained in its dilation. In this talk, by using two well-known inequalities, we classify all the possible Ehrhart polynomials of integral convex polytopes with small normalized volumes. Moreover, we also discuss the Ehrhart polynomials of integral simplices with prime normalized volume