Integer distance sets
Math Colloquium
Date
Wednesday, April 2, 2025 15:30 - 16:30
Speaker
Rachel Greenfeld (Northwestern University)
Location
Raiffeisen Lecture Hall, Central Building
Series
Colloquium
Tags
Mathematics Colloquium
Host
Matthew Kwan and Robert Seiringer
Contact
Abstract: A set in the Euclidean plane is called an integer distance set if the distance between any pair of its points is an integer. All so-far-known integer distance sets have all but up to four of their points on a single line or circle; and it had long been suspected, going back to Erds, that any integer distance set must be of this special form. In a recent work, joint with Marina Iliopoulou and Sarah Peluse, we developed a new approach to the problem, which enabled us to make the first progress towards confirming this suspicion. In the talk, I will discuss the study of integer distance sets, its connections with other problems, and our new developments.