Seminar Event Detail


Colloquium Series

Date:  Tuesday, September 21, 2021
Location:  1360 East Hall (4:00 PM to 5:00 PM)

Title:  Peg problems

Abstract:   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.

Files:


Speaker:  Joshua Greene
Institution:  Boston College

Event Organizer:     

 

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