Andriy Bondarenko (Norwegian University of Science and Technology) : "On Borsuk's conjecture"

Andriy Bondarenko

Norwegian University of Science and Technology

Exposé  réel 

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.