Imre Bárány: Pairwise intersecting convex sets and cylinders in R^3
16.00-16.45: Introductory talk
17.00-18.00: Main lecture
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.