Geometry Seminar

Tiny triangles and fractal geometry

Speaker: Alex Cohen, MIT

Location: Warren Weaver Hall 1314

Date: Tuesday, January 30, 2024, 6 p.m.

Synopsis:

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 Cn−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.

Notes:

A mix of in person and remote presentations; both types are live-streamed on Zoom and recorded.
In-person and remote talks are at different times.
See mailing list announcements for Zoom details or contact Boris Aronov.