Graduate Computational Algebraic Geometry Seminar
Barry Dayton
NEIU
Algebraic Geometry via Numerical Polynomial Algebra
Abstract: This talk describes how to use the techniques of numerical
polynomial algebra -- Macaulay and Sylvester arrays, dual spaces,
numerical linear algebra using Mathematica -- to find information about
solution components of positive dimensions in polynomial systems.
Examples are given of problems with integer coefficient systems that are
more easily solved by numerical than exact methods. Applications include
finding implicit equations for parametrically defined curves in R^3.
Thursday October 13, 2011 at 1:00 PM in SEO 1227