Number 2, June 1997.
Announcements - Conferences and Events
Special Year on Gröbner Bases
RISC, Linz, Austria, March 1997 - February 1998.
The institute RISC-Linz of the Johannes Kepler Universität
in Linz, Austria, will organize a Special Year on Gröbner Bases,
from March 1997 until February 1998.
The goals are:
- (1)
- to interest and educate graduate students in the Gröbner
bases method, which by now has become one of the standard methods in
computer algebra,
- (2)
- to stimulate new research in this area by bringing together
researchers in seminars and other events during the year,
- (3)
- to stimulate the interaction among researchers in
computer algebra, commutative algebra, software design, and
applications, as related to the theory of Gröbner bases.
The special year activities will be open to all graduate students
and researchers working or having interest in
the Gröbner bases method.
We are working for partial support
of a limited number of participants.
Researchers on sabbatical and/or leave of absence are encouraged to
get into contact with us.
Besides increased activities in seminars and colloquia,
there will be two main activities during the Special Year on Gröbner
Bases: an intensive
course for graduate students taught by members of RISC-Linz
and invited speakers, and a conference devoted to
the theory and practice of Gröbner bases.
Intensive Course on Gröbner Bases
From January 7 until January 30, 1998, we will organize and teach
an intensive course on Gröbner bases. The goal of this course is
to provide a thorough introduction to
Gröbner bases. Topics that will be relevant to this course
include
- abstract reduction relations and the properties of
confluence and termination,
- term orderings for Gröbner bases and their
classification,
- existence, uniqueness, and construction of Gröbner
bases for polynomial ideals over a field,
- immediate applications to elimination theory,
operations on ideals, and linear algebra in residue class
rings,
- improved construction of Gröbner bases, such as
criteria for eliminating unneccessary critical pairs,
syzygies, information on Hilbert functions,
linear algebra techniques for change of ordering, and
Gröbner walk,
- complexity analysis,
- more advanced applications to problems in algebraic
geometry, such as Hilbert's Nullstellensatz, dimension
of ideals, computation of radicals, primary decomposition
of ideals,
- applications, for example in computer aided geometric design,
such as implicitization of algebraic curves and surfaces,
and in geometry theorem proving.
The course will be taught by Bruno Buchberger and Franz Winkler
from RISC-Linz together with guest lecturers from other
institutes (names will be announced soon).
It is intended mainly for graduate students.
Participants in the course are expected to have a good basic
understanding of algebra and some knowledge in computer
programming.
International Conference on Gröbner Bases
(``33 Years of Gröbner Bases'')
In February 2 - 4, 1998, RISC-Linz will organize a 3-day conference
on Gröbner bases. A call for papers will be issued early next
year.
Franz Winkler will act as the chairman of the program committee.
Topics of the conference include
- theoretical development of the algebraic theory of
Gröbner bases,
- numerical aspects of the computation and use of Gröbner
bases,
- applications of Gröbner bases in science and
engineering,
- implementations and issues of software design in
connection with Gröbner bases.
In addition to the regular program of the conference we plan to
organize a software exhibition.
Accepted presentations at the conference will be published in
a proceedings volume
in ``Texts and Monographs
in Symbolic Computation'', the RISC-Linz book series published by
Springer-Verlag Wien New York.
The site of all events during the Special Year on Gröbner Bases
will be the medieval Castle of Hagenberg, the home of RISC-Linz.
For additional information on the Special Year on Gröbner Bases
please write to the organizers:
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