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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.
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Date: |
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| Start Time: |
16:00 |
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Speaker: |
Joshua Greene (Boston College, USA)
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Institution: |
Boston College, USA
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Place: |
Remote via https://videoconf-colibri.zoom.us/j/82159800549
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| Research Groups: |
-Geometry
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See more:
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<Main>
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