CS 915 - Constructive Commutative Algebra
University of Western Ontario
Computer Science Department
Date: September 11, 2009
- This reading course introduces the student to fundamental
and modern tools for computing with polynomial ideals and affine varieties.
The aim is to give fundamental notions and also to show to the student
how to navigate in the latest discoveries of the field.
This proceeds in three steps
- First we study in detail the fundamental notions of one of these tools
from constructive commutative algebra.
we study Gröbner bases based on
the The Ideals, Varieties, and Algorithms book
- Then we study in a seminar format some recent adavances on another
tool and let the student get the fundamental notions
This year we study fast technqiues for computing characteristic sets.
- Finally, the student is given a little research project where she
has to reuse recent ideas of one topic into another area.
This year the student has to adapt the fast computation techniques
of characteristic sets to Gröbner bases.
The goal is not necessarily to make new discoveries but to
show investigation techniques to the student.
- These are links to some books and software related to the course.