Session S28 - Knots, Surfaces, 3-manifolds

Wednesday, July 14, 16:00 ~ 16:30 UTC-3

Cyclic quadrilaterals and smooth Jordan curves

Joshua Greene

Boston College, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

I will discuss the context and proof of the following result: for every smooth Jordan curve and for every four points on a circle, there exists an orientation-preserving similarity taking the four points onto the curve. The proof involves symplectic geometry in a surprising way.

Joint work with Andrew Lobb (Durham University).

View abstract PDF