Title: On the Erdős distinct distance problem and its many variants

Speaker: Eyvindur Ari Palsson, Virginia Tech

Date and time: 2pm (New York time), Tuesday, March 21, 2023

Place: On Zoom (details provided on the seminar mailing list)

One of Erdős's greatest contributions to geometry was his problem on distinct distances that asks: what is the least number of distinct distances among $N$ points in the plane? This seemingly innocent question inspired many other related questions, such as the Erdős unit distance problem, which asks: how often can a particular distance at most arise among $N$ points? In this talk we will recount the history of these classic questions and then focus on some variants, such as angles, chains and triangles, that have seen recent progress.