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Ehrhart polynomials of lattice-face polytopesAlgebra & 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.