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Lecture 2, by Imre Bárány (Alfréd Rényi Mathematical Institute of the Hungarian Academy of Science, Budapest): Cells in the box and a hyperplane

May 30, 2022 | 04:00 PM s.t.

It is well known that a line can intersect at most 2n−1 cells of the n×n chessboard. What happens in higher dimensions: how many cells of the d-dimensional [0,n]^d box can a hyperplane intersect? We answer this question asymptotically. We also prove the integer analogue of the following fact. If K,L are convex bodies in R^d and KL, then the surface area K is smaller than that of L. This is joint work with Péter Frankl.

Time & Location

May 30, 2022 | 04:00 PM s.t.

Chemistry building
Arnimallee 22
14195 Berlin
Hörsaal A
Campus map

Freie Universität Berlin
Technische Universität Berlin
Humboldt-Universität zu Berlin
Deutsche Forschungsgemeinschaft (DFG)