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Abstract: I will discuss a problem that lies in the
intersection of symplectic geometry and combinatorics. The symmetries
of a symplectic manifold are reflected in its moment polytope. There
is a dictionary translating the geometry into combinatorics, and vice
versa. I will start with the definition of a polytope, describe
enough symplectic geometry to motivate the moment polytope, and then I
will discuss several of the dictionary entries.
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