The rectangular peg problem
The rectangular peg problem
Zoom link:听听
Password required
(The colloquium password听will be distributed to Princeton University and IAS members. We ask that you听do not share this password. If you would like to be included in the colloquium听and are not a member of either institution, please email the organizer Casey Kelleher (caseyk@princeton.edu) with an email requesting to participate which introduces yourself, your current affiliation and stage in your career.)
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. 鈥楯oint work with Andrew Lobb.