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### Ehrhart polynomials of lattice-face polytopes

**Algebra & Discrete Mathematics**

Speaker: | Fu Liu, MIT |

Location: | 1147 MSB |

Start time: | Thu, Jan 5 2006, 12:10PM |

There is a simple formula for the Ehrhart polynomial of a cyclic polytope. In this talk, we will explain that the same formula holds for a more general class of polytopes, lattice-face polytopes. We develop a way of decomposing any d-dimensional simplex in general position into d! signed sets and carefully count the number of lattice points inside them. We are thus able to conclude the desired formula.