These talks will be self-contained presentations of mathematical concepts
and theorems. They are intended to be accessible to all mathematics students.
Tuesday 18th May, 2004
1 pm, S14
The Power of a Ring
Dr Pam Norton
School of Mathematical Sciences
Monash University
Most maths students are familiar with the technique of Gaussian
elimination used to solve a linear system of equations. What happens
when the system of equations is not linear? Such a system arises, for
example, in determining whether the intersection of a plane with a
square pyramid can be a regular pentagon. In this talk we will describe
the Gršbner basis method for attempting to solve such systems. It uses
the notion of an ideal of a ring.
Convenor: Matthew Ovens