Peg Problems
 
 
Description:  Toeplitz asked in 1911 whether any Jordan curve in the Euclidean plane contains the vertices of a square. The problem remains open, but it has given rise to many interesting variations and partial results. I will discuss the proof of a related result which is best possible when the curve is smooth: for any four points on the circle and for any smooth Jordan curve in the Euclidean plane, there exists an orientation-preserving similarity which carries the four points onto the curve. The proof involves symplectic geometry in a surprising way. Joint work with Andrew Lobb.
Date:  2021-03-17
Start Time:   16:00
Speaker:  Joshua Greene (Boston College, USA)
Institution:  Boston College, USA
Place:  Remote via https://videoconf-colibri.zoom.us/j/82159800549
Research Groups: -Geometry
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