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Filliman duality

Student-Run Research Seminar

Speaker: Greg Kuperberg, UC Davis
Location: 693 Kerr
Start time: Wed, Feb 20 2002, 12:00PM

Filliman duality expresses a convex polytope P containing the origin as an alternating sum of simplices that share supporting hyperplanes with P. The terms in the alternating sum are given by a triangulation of the polar body P^o. The duality can lead to useful formulas for the volume of varoius polytopes. I will talk about a generalization of Filliman duality and about its application to the Birkhoff polytope.