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Colloquium Series Seminar

Peg problems
Tuesday, September 21, 2021
4:00-5:00 PM
1360 East Hall Map
In 1911, Toeplitz asked whether every Jordan curve in the plane contains the vertices of a square. Toeplitz's question is still open, but it has given rise to many interesting variations and partial results. I will survey some of these and steer towards a recent result of mine with Andrew Lobb: every smooth Jordan curve in the plane contains the vertices of a cyclic quadrilateral of any orientation-preserving similarity class. The argument involves symplectic geometry in a surprising way. Speaker(s): Joshua Greene (Boston College)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics