An Introduction to Numerical Algebraic Geometry and Applications
Eric Hanson
Department of Mathematics, Colorado State University
Date and time:
Tuesday, April 7, 2015 - 3:15pm
Location:
ECCR 257
Abstract:
Numerical algebraic geometry (NAG) is a relatively new and emerging field of applied mathematics, which focuses on the approximation of solutions to systems of polynomial equations. While the theory that underpins this area comes from algebraic geometry and numerical linear algebra, the basic algorithms rely on concepts often found in calculus courses, such as Newton's method and Euler's method. This introductory talk will highlight the role of these methods in NAG, introduce other great results in mathematics (Bezout's Theorem, etc.), and discuss applications, such as modeling mechanisms (think robot workspaces!).