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« A New Upper Bound for the Heilbronn Triangle Problem

A New Upper Bound for the Heilbronn Triangle Problem

October 09, 2023, 2:00 PM - 3:00 PM

Location:

Conference Room 705

Rutgers University

Hill Center

110 Frelinghuysen Rd

Piscataway, NJ 08854

Cosmin Pohoata, Emory University

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.