School of Mathematics Colloquium
Thursday, February 4, 2010 - 11:05am
1 hour (actually 50 minutes)
Refreshments at 4PM in Skiles 236
The Pentagram map is a projectively natural iteration on plane polygons. Computer experiments show that the Pentagram map has quasi-periodic behavior. I shall explain that the Pentagram map is a completely integrable system whose continuous limit is the Boussinesq equation, a well known integrable system of soliton type. As a by-product, I shall demonstrate new configuration theorems of classical projective geometry.