Bonjour, ce mardi 12 octobre 2021 à 14h00 en B107 (& visioconférence), nous recevrons Imre Bárány qui nous parlera de : Cells in the box and a hyperplane Résumé : 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 determine this number asymptotically. We also prove the integer analogue of the following fact. If K,L are convex bodies in R^d and K⊂L, then the surface area K is smaller than that of L. Joint work with Peter Frankl. Lien BBB : https://bbb.lipn.univ-paris13.fr/b/ban-kpe-96w À tout de suite, Thierry