Séminaire
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Date : 4 décembre 2024 11:00 - Salle :Amphi 2 - Pôle commun
Pairwise intersecting convex sets and cylinders in R^3Imre Barany - Rényi Institute, Budapest and London |
We prove that given a finite collection of cylinders in R^3 with the property that any two of them intersect, there is a line intersecting an alpha-fraction of the cylinders where alpha=1/14. This is a special case of a recent and interesting conjecture. Further results in this direction will be discussed.
https://en.wikipedia.org/wiki/Imre_B%C3%A1r%C3%A1ny
Imre Barany is a proeminent figure of the Hungarian school of combinatorics (Erdös, Renyi, Turan, Lovasz, Szemerédi, Pach, Tardos, Füredi...and many others). He is now more than 70 years old, but he's still an active researcher with amazing results. I can only encourage you to come to this talk of a famous mathematician.