Graduate student seminar: "Computing Node Polynomials for Plane Curves"
Mon, November 2, 2009 10:00AM - 11:00AM
| Time: | 10:00AM - 11:00AM |
| Location: | Baker Board Room #245 |
| Speaker: | Alex Fink |
| Abstract: | Counting algebraic curves with certain prescribed properties is an old problem going back more than 150 years. In this talk I will describe recent progress on the following question: How many algebraic plane with a given number of nodes and given degree pass through a sufficient number of generic points? This year Fomin and Mikhalkin proved that this number is a polynomial (the node polynomial) if the degree is sufficiently large. Using tropical geometry and ``labeled floor diagrams" I will present some new node polynomials and a few other results about them. |
