Andriy Bondarenko (Norwegian University of Science and Technology) : "On Borsuk's conjecture"Séminaires Séminaire « Géométrie dynamique »
Norwegian University of Science and Technology
Lieu : Salle Visio, M3
Résumé : In 1933 Karol Borsuk conjectured that every closed set in R^n of diameter 1 could be partitioned into n + 1 parts of smaller diameters. The conjecture was disproved in 1993 by Kahn and Kalai. We will discuss our recent results on this conjecture in small dimensions together with related problems.