The rectangular peg problem

The rectangular peg problem

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Joshua Greene, Boston College

Zoom link:  https://princeton.zoom.us/j/99136657600

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I will discuss the context and solution of the rectangular peg problem: for every smooth Jordan curve and rectangle in the Euclidean plane, one can place four points on the curve at the vertices of a rectangle similar to the one given. The solution involves symplectic geometry in a surprising way. ‘Joint work with Andrew Lobb.