Algebraic Combinatorics Seminar
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UNIVERSITY OF KENTUCKY **

ALGEBRAIC COMBINATORICS SEMINAR

845 PATTERSON OFFICE TOWER

SPRING 2004

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Ehrhart polynomials

Daniel Kiteck

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Friday, April 23, 2004

11:00 am, 845 Patterson Office Tower

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Abstract:

For a lattice polytope P the Ehrhart polynomial
is a function which counts the number of lattice
points in the n-fold dilated polytope nP.
In this talk I will sketch MacDonald's proof
of the volume of a lattice polyhedron.
I will also review some facts about
Ehrhart polynomials and recent results
of Beck, De Loera, Develin, Pfeifle and Stanley.