Mathematics Colloquia and Seminars
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Polytopes and Arrangements : Diameter and CurvatureAlgebra & Discrete Mathematics
|Speaker: ||Yuriy Zinchenko, University of Calgary|
|Location: ||2112 MSB|
|Start time: ||Tue, May 29 2012, 2:10PM|
We introduce a continuous analogue of the
Hirsch conjecture and a discrete analogue of the result of Dedieu, Malajovich and Shub. We prove a continuous analogue of the result of Holt and Klee, namely, we construct a family of polytopes which attain the conjectured order of the largest total curvature, and a continuous analogue of a d-step equivalence result for the diameter of a polytope. Potential extensions of this work will be highlighted.