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FEW Event 2023

Tuesday, April 25, 2023 - 3:45pm to 4:45pm

Malabika Pramanik

University of British Columbia


University of Pennsylvania

Claire M. Fagin Hall 218

Tea will be served in the math department lounge starting at 3pm. Join Zoom Meeting Meeting ID: 971 7201 0678 Passcode: 314159

The ancient Pythagorean theorem 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 survey a few research problems associated with Euclidean distances between points and discuss recent breakthroughs in some of them. The presentation is intended to be an introduction to a vibrant research area; no advanced mathematical background will be assumed.