Title: Tiny triangles and fractal geometry

Speaker: Alex Cohen, MIT

Date and time: 6pm (New York time), Tuesday, January 30, 2024

Place: WWH1314 (room 1314 Warren Weaver Hall, 251 Mercer Street)

...and on Zoom, details on the seminar mailing list

We discuss a new upper bound for Heilbronn’s triangle problem, showing that in any set of $n$ points placed inside the unit square there exists a triangle with area less than $C n^{-8/7-1/2000}$. In the course of this talk we will reinterpret prior work in modern language and discuss three different connections between Heilbronn's problem and fractal geometry / projection theory.