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Travis Dillon (MIT, USA): Explicit bounds for the layer number of the grid |
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| Abstract: To peel a finite point set in Euclidean space, remove the vertices of its convex hull. The number of times a point set must be peeled to remove all of its vertices is called the layer number of the set. Though the layer number of many natural point sets has been determined, the layer number of the grid $\{1, 2, \dots, n\}^d$ remains unknown. The central results of this talk are two short proofs that significantly improve the bounds for the layer number of grids. We show as a consequence that the layer number of grids is linear in $d$. The lecture will be in the Riesz lecture hall. |
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