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Filliman duality
Student-Run Research| Speaker: | Greg Kuperberg, UC Davis |
| Location: | 693 Kerr |
| Start time: | Wed, Feb 20 2002, 12:00PM |
Description
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.