Michael Dobbins, Realizability of Antiprisms

Realizability of Antiprisms
Michael Dobbins
Department of Mathematical Sciences, KAIST
2011/10/7 Fri 4PM-5PM
If one draws the Hasse diagram for the face lattice of a polytope, this may appear to be the 1-skeleton of some other polytope. In 1971 Lindström asked whether the intervals of a polytope’s face lattice ordered by containment can be realized as the face lattice of another polytope. If so, this would be the polytope appearing the Hasse diagram. In this talk, I will give necessary and sufficient conditions for the intervals of a polytope’s face lattice to be realizable, and I will provide a counter example showing that not every polytope satisfies these conditions.


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