New Results on Projections

Computer Science/Discrete Mathematics Seminar II
Topic:New Results on Projections
Speaker:Guy Moshkovitz
Affiliation:Member, School of Mathematics
Date:Tuesday, January 22
Time/Room:10:30am - 12:30pm/Simonyi Hall 101
Video Link:https://video.ias.edu/csdm/2019/0122-GuyMoshkovitz

What is the largest number of projections onto k coordinates guaranteed in every family of m binary vectors of length n? This fundamental question is intimately connected to important topics and results in combinatorics and computer science (Turan number, Sauer-Shelah Lemma, Kahn-Kalai-Linial Theorem, and more), and is wide open for most settings of the parameters. We essentially settle the question for linear k and sub-exponential m. 

Based on joint work with Noga Alon and Noam Solomon.