Geometric Transversal Theory has long become a major area of Discrete Geometry, with strong connections to Linear Optimization and Algebraic Topology. The work on Helly-type Theorems led to deep quantitative problems whose study was spearheaded by Alon, Barany, Goodman, Pollack, Kalai, Katchalski, Lovasz, Wenger, and others. As has been discovered in late 1980s, the answers to several of these questions (most notably, the proof of Hadwiger-Debrunner's (p,q)-Conjecture by Alon and Kleitman) essentially rely on the existence of small-size Epsilon-nets.
In the very recent years, notable advances towards sharp bounds on strong and weak Epsilon-nets and other problems have been done by Alon, Pach and Tardos, Aronov, Ezra and Sharir, Bukh, Matoušek and Nivasch, Goaoc, Karasev, Montejano, Patakova, Tancer, de Verdiere, Wagner, and many others. We ask to capitalize on this momentum by bringing together researchers in such aspects of Geometric Transversals as Helly-type Theorems and transversal numbers of families of convex sets, the Colorful Helly Theorem and its relatives, and Epsilon-nets.
The meeting is part of the 5-year project Combinatorial Aspects of Computational Geometry supported by the European Research Council (ERC).
The program begins on Sunday, March 18th , 2018, when a bus will leave Tel Aviv Rothschild Hotel at 9:00 AM and proceed through Ben-Gurion Airport to spectacular Ein-Gedi resort, in close proximity to the Dead Sea and the famous Ein-Gedi natural reserve. The scientific part of the conference stretches over 4.5 days filled with talks, working sessions, and an excursion to the Ein-Gedi reserve.
The program ends on Thursday March 22nd when the bus leaves Ein Gedi at 15:00 back to Tel Aviv/Ben-Gurion Airport.