Dimers and inscribing rational curves in polygons |
Abstract: This is joint work with Andrei Okounkov. Given a polygon P with 3n sides, when can you find a degree-n rational curve inscribed in P? We answer this question for the family of polygons having sides with slopes 0,1,infinity. This result arose from a completely different area, studying the so-called dimer model of statistical mechanics. We'll show the connection and give a sketch of the proof. |
Web page: Alexandru I. Suciu | Posted: March 21, 2006 | |
Comments to: a.suciu@neu.edu | URL: http://www.math.neu.edu/bhmn/kenyon06.html |