Points and Distances
数学专题报告
报告题目(Title)：Points and Distances
报告人(Speaker)：Malabika Pramanik 教授 (University of British Columbia, Canada)
地点(Place)：后主楼1220
时间(Time)：2025年7月17日 16：00-17：00
邀请人(Inviter)：杨大春
报告摘要
The Pythagorean theorem, dating back to before 500 BC, gives a formula for computing the Euclidean distance between two points. It is simply astounding that a concept so simple and classical has continued to fascinate mathematicians over the ages, and remains a tantalizing source of open problems to this day.
Given a set E, its distance set consists of numbers representing distances between points of E. If E is large, how large is its distance set? How does the structure of a set influence the structure of distances in the set? Such questions play an important role in many areas of mathematics and beyond. The talk will mention a few research problems involving Euclidean distances between points and some landmark results associated with them.
The presentation is intended to be an introduction to a vibrant research area; no advanced mathematical background will be assumed.
