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Wednesday 13th - Friday 15th June 2001
Station Biologique de l'ENS, 1, rue Château
Foljuif (south-east of Paris), FRANCE
Organizer: Nicolas M. Thiéry -
LAPCS,
Université Claude Bernard Lyon 1,
France
With support from the: Laboratoire
de Probabilité, Combinatoire et Statistiques
Contact: nthiery@users.sf.net
Web page: http://www.lapcs.univ-lyon1.fr/~nthiery/workshop.html
Scope
The invariant theory of permutation groups has potential applications
in many different areas (discrete mathematics, Galois theory,
differential equations, algebra, quantum mechanics, ...). However, the
computations involved are very hard, and the applicability of this
theory will be greatly conditioned in the future by the existence of
efficient software. Theory and practice are particularly intermixed
here, since the computation of non trivial examples can help in the
understanding of the structure of those invariant rings, which in turn
can yield better algorithms.
The goal was to gather researchers in connected areas to help define
the needs and the problems and bring up exciting collaborations,
especially around software development.
Topics
Specific topics included but were not limited to:
-
Applications
- Algorithms and implementations
- Theoretical aspects
- Related problems of isomorphism of permutation groups
Program
The workshop consisted of lectures, short communications by the
participants on their recent research, software demonstrations, and
problem sessions. Plenty of time was reserved for informal
discussions, and the workshop continued informally over the week-end.
-
Tuesday
-
-
20h30 Dinner (a cold dinner will be available for those
arriving late in the evening).
- Wednesday
-
-
10h-10h15 Welcome
- 10h15-11h15 David Wehlau: The Image of the Transfer for
Permutation Representations
Related documents
- 11h15-12h15 Nicolas M. Thiéry: Computations in invariant
rings of permutation groups
Related article
- 12h45 Lunch
- 14h30-15h15 Antoine Coste: Groups in modern physics,
- 15h30-16h30 Florent Hivert: Schubert polynomials: a tool for
computing in the natural representation of the symmetric group on
polynomials.
- 16h30- Problem session / informal discussion
- 19h Dinner
- Thursday
-
-
10h-11h Jim Shank: On the invariants of the regular
representation of the cyclic group of order p in characteristic
p.
Related documents
- 11h-12h Mufit Sezer: A sharpening of Noether-Fleischmann Bound
Related article
- 12h30 Lunch
- 14h30-15h15 Ugur Madran: Lower Degree Bounds of Modular
Vector Invariants of Finite Groups.
- 15h45- Problem session / informal discussion
- 19h Dinner
- Friday
-
-
10h-11h Emmanuel Briand: Calcul de l'ideal des relations
entre les polynômes multisymétriques élémentaires, et applications
/ Computation of the ideal of the relations between the elementary
multisymmetric polynomials, and applications.
Bibliography about multisymmetric polynomials
- 11h00-12h00 Jean-Charles Faugère: Solving polynomial systems
with symmetries; applications and algorithms.
- 12h30 Lunch
- 15h15-16h15 Adriano Garsia: Enumeration of reduced
factorizations of permutations (video)
List of participants
-
Emmanuel Briand, doctorant, IRMAR, Université de Rennes 1,
FRANCE
- Antoine Coste, chargé de recherche, CNRS, Université Paris-Sud,
France
- Ruth Enoch, graduate student in Purdue University, USA
- Jean-Charles Faugère, chargé de recherche, CNRS, LIP6,
Université Paris VI, France
- Adriano Garsia, Professor, University of California at
San-Diego, USA
- Florent Hivert, maître de conférence, Université
Marne-la-Vallée, France
- Ugur Madran, graduate student, Department of Mathematics,
Bilkent University, Turkey
- Ioannis Michos, Post-Doc au LIAFA, Universite Paris 7
- M.Angeles Gómez Molleda, Doctorant, Universidad de Cantabria,
Spain
- Mufit Sezer, graduate student in Purdue University, USA
- Jim Shank, University of Kent at Canterbury, UK
- Nicolas M. Thiéry, maître de conférences, Université Lyon I,
France
- David Wehlau, Professor, Department of Mathematics and Computer
Science, Royal Military College and Department of Mathematics and
Statistics, Queen's University, Canada
Welcome to Nicolas home
Workshop on computational invariant theory of permutation groups and applications /
Isil's home /
Nicolas M. Thiéry
Last modified: Thu Oct 20 16:29:01 2005