3 p.m. - 4 p.m. Location: SLC 2.302
***PLEASE NOTE THE CHANGE IN TIME AND LOCATION***
Ohio State University
The limit point of the pentagram map
The pentagram map is a discrete dynamical system defined on the space of polygons in the plane. In the first paper on the subject, R. Schwartz proved that the pentagram map produces from each convex polygon a sequence of successively smaller polygons that converges exponentially to a point. We investigate the limit point itself, giving an explicit description of its Cartesian coordinates as roots of certain degree three polynomials.
Coffee to be served at the alcove outside of FO 2.406 30 minutes prior to the talk.