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« Hilbert's Monkey Saddle and other Curiosities in the Riesz Equilibrium Problem for 3 Points on a Circle

Hilbert's Monkey Saddle and other Curiosities in the Riesz Equilibrium Problem for 3 Points on a Circle

December 07, 2017, 5:00 PM - 6:00 PM

Location:

Conference Room 705

Rutgers University

Hill Center

110 Frelinghuysen Rd

Piscataway, NJ 08854

Michael Kiessling, Rutgers University

This talk reports the results of a research project with undergraduate student Renna Yi this past Summer. What was meant as a warm-up problem for understanding what "Steve Smale's 7th problem for the 21st century" is all about turned out to hold some surprises. In particular, two mathematical constructions which are usually cooked up for the purpose of illustrating some calculus (II and III) concepts show up naturally in the Riesz Equilibrium Problem of 3 Points on a Circle: Hilbert's Monkey Saddle is one of those, the other one will be revealed at the talk.