### Graduate Student Seminar, 4:30pm May 5, 2003, Hayes-Healy 231

#### Speaker:

Dan Bates
#### Title:

The Basics of Numerical Algebraic Geometry
#### Abstract:

I will begin by discussing the basic ideas of the field of numerical algebraic geometry. Specifically, I will
describe some probability-one algorithms that may be used to find and classify points on a variety that is given by a
system of complex polynomials. This numerical description is useful in many applications, a few of which will be
mentioned briefly. In the time remaining, I will describe some of the numerical aspects of this method, including
some questions that I am currently investigating.
To volunteer to give a talk, or for any other questions regarding this schedule, contact Wesley Calvert