Wintersemester 2002/2003
Vorlesungsankündigung
Franz Winkler
Tue 16.15-17.45, Place: T 711
Tue 15.30-16.15 (Übungen), Place: T 711
first lecture: October 8
A theoretical introduction into the area of computer algebra is presented.
Some of the main topics will be algorithms for basic algebraic domains
(like integers, polynomials, finite fields, algebraic extension fields),
computation by homomorphic images using the Chinese remainder algorithm,
greatest common divisors of polynomials, factorization of univariate
polynomials over finite fields, and the basic theory of Gröbner bases
for polynomial ideals.
The course will follow the appropriate chapters in
F. Winkler: Polynomial Algorithms in Computer Algebra,
Springer-Verlag Wien New York, 1996 (ISBN 3-211-82759-5)
Participants are expected to be acquainted with the basic notions in
algebra and algorithm theory.
In the exercise session (Übungen) the students will have to solve
both theoretical problems and practical problems with the help of
some computer algebra system.
Time: Thu 14.30 - 16.00, Place: Seminarraum Hagenberg
first lecture: October 10
We discuss new results (by our group and also by others) in computer algebra,
symbolic computation, computer aided geometric reasoning, and related topics.
Participants give lectures in the seminar, and sometimes guest speakers are
invited to present their work.
Time and place according to agreement
I discuss ongoing work with my doctoral and diploma students.
Time: Mon 13.30 - 14.30 (see announcements)
Place: Seminarraum Hagenberg
Invited guest speakers present their research work in symbolic
computation.
Time and place according to agreement
We read and discuss recent publications in computer algebra.
Time and place according to agreement
Implementation of algorithms in computer algebra and constructive
algebraic geometry.
Es besteht die Möglichkeit, in meiner Arbeitsgruppe
eine Diplomarbeit anzufertigen zu Themen aus Computer-Algebra,
algebraischer Geometrie, Computer-Aided-Geometric-Design,
Kodierungstheorie, Kryptographie, sowie verwandten Gebieten.