Wintersemester 2003/2004

Vorlesungsankündigung

Franz Winkler

Computeralgebra (326.201)

(mit Übungen)

Time: Tue 16.15 - 17.45, Place: T 211A 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

15.30 -16.15 Übungen, Leiter Dr. G. Landsmann, Place: T 211

first lecture: October 7

first exercises: October 14

F. Winkler: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.Polynomial Algorithms in Computer Algebra

Springer-Verlag Wien New York, 1996 (ISBN 3-211-82759-5)

The final exam will take place on tuesday, january 27 at the usual lecture time and room. Books and notes are allowed.Informations to the exercises can be foundhere.

Projektseminar: Computeralgebra (326.805)

Time: Thu 14.30 - 16.00, Place: Seminarraum HagenbergWe 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.

first meeting: October 9

Vortragsreihe Symbolic Computation (326.050)

Time: Mon 13.30 - 14.30 (see announcements), Place: Seminarraum HagenbergInvited guest speakers present their research work in symbolic computation.

Seminar Computer-Algebra I (326.753)

Time and place according to agreementWe read and discuss recent publications in computer algebra.

Programmierprojekt Computer-Algebra I (326.761)

Time and place according to agreementImplementation of algorithms in computer algebra and constructive algebraic geometry.

Diplomanden- und Dissertantenseminar I (326.703)

Time and place according to agreementI discuss ongoing work with my doctoral and diploma students. In my working group students are encouraged to work out diploma and phd theses on topics such as computer algebra, algebraic geometry, computer aided geometric design, and symbolic methods in analysis.