Combinatorics Seminar - Alex Cohen (MIT)
16:15-18:00
Speaker: Alex Cohen (MIT)
Title: Improved bound for Heilbronn's triangle problem and connections to projection theory
Abstract: We discuss a new upper bound for the Heilbronn triangle problem, showing that in any set of n points placed inside the unit square there exists a triangle with area less than C n^{-8/7-ep}. In the course of this talk we will establish three different connections between Heilbronn's problem and projection theory. All joint with Cosmin Pohoata and Dmitrii Zakharov.