Departmental Colloquium
Marshall Hampton
University of Minnesota Duluth
Finiteness and enumeration of polynomial systems
Abstract: The study of solutions of polynomial systems is a fundamental
topic in mathematics. In this talk I will discuss the finiteness and
enumeration of solutions to families of polynomial systems that arise in
celestial mechanics and vortex dynamics - however, the methods used can be
applied in greater generality. I will also briefly introduce the Sage
computational platform which is used for this work. Sage is free,
open-source, and builds on many other successful projects. For this talk,
I will focus on the components Gfan, PHCpack, Singular, and some
Sage-native code.
Monday August 25, 2008 at 3:00 PM in SEO 636