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Discrete Math

A new upper bound for the Heilbronn triangle problem

Cosmin Pohoata (Emory)

Location:  Hill 705
Date & time: Monday, 09 October 2023 at 2:00PM - 3:00PM

Abstract: We discuss a new upper bound for the Heilbronn triangle problem, showing that for sufficiently large $n$ in every configuration of $n$ points chosen inside a unit square there exists a triangle of area less than $n^{-8/7-1/2000}$.   This is joint work with Alex Cohen and Dmitrii Zakharov.