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\title{Workshop on computational invariant theory of permutation
  groups and applications}

\author{}
\date{}

\begin{document}

\maketitle

\begin{center}
  \Large
  Wednesday 13th - Friday 15th June 2001\\
  Station Biologique de l'ENS, 1, rue Château\\
  Foljuif (south-east of Paris), FRANCE
\end{center}

Organizer: Nicolas M. Thiéry -
\href{http://lapcs.univ-lyon1.fr}{LAPCS},
\href{http://www.univ-lyon1.fr}{Université Claude Bernard Lyon~1},
France

With support from the: \href{http://lapcs.univ-lyon1.fr}{Laboratoire
  de Probabilité, Combinatoire et Statistiques}

Contact: \href{mailto:nthiery@users.sf.net}{nthiery@users.sf.net}

Web page: \url{http://www.lapcs.univ-lyon1.fr/~nthiery/workshop.html}

\section*{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.

\section*{Topics}

Specific topics included but were not limited to:
\begin{itemize}
\item Applications
\item Algorithms and implementations
\item Theoretical aspects
\item Related problems of isomorphism of permutation groups
\end{itemize}

\section*{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.

\begin{description}
\item[Tuesday]
  \begin{itemize}
  \item[20h30] Dinner (a cold dinner will be available for those
    arriving late in the evening).
  \end{itemize}
\item[Wednesday]
  \begin{itemize}
  \item[10h-10h15] Welcome
  \item[10h15-11h15] David Wehlau: The Image of the Transfer for
    Permutation Representations\\
    \href{http://www.ukc.ac.uk/IMS/maths/people/R.J.Shank/welcome.html}{Related documents}
  \item[11h15-12h15] Nicolas M. Thiéry: Computations in invariant
    rings of permutation groups\\
    \href{Preprints/Thiery.CMGS.2001/}{Related article}
    \bigskip
  \item[12h45] Lunch
  \item[14h30-15h15] Antoine Coste: Groups in modern physics,
  \item[15h30-16h30] Florent Hivert: Schubert polynomials: a tool for
    computing in the natural representation of the symmetric group on
    polynomials.
  \item[16h30-] Problem session / informal discussion
  \item[19h] Dinner
  \end{itemize}

\item[Thursday]
  \begin{itemize}
  \item[10h-11h] Jim Shank: On the invariants of the regular
    representation of the cyclic group of order $p$ in characteristic
    $p$.\\
    \href{http://www.ukc.ac.uk/IMS/maths/people/R.J.Shank/welcome.html}{Related documents}
  \item[11h-12h] Mufit Sezer: A sharpening of Noether-Fleischmann Bound\\
    \href{WCITPG.2001/Sezer_2001.dvi}{Related article}
  \item[12h30] Lunch
  \item[14h30-15h15] Ugur Madran: Lower Degree Bounds of Modular
    Vector Invariants of Finite Groups.
  \item[15h45-] Problem session / informal discussion
  \item[19h] Dinner
  \end{itemize}

\item[Friday]
  \begin{itemize}
  \item[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.\\
    \href{WCITPG.2001/Briand.Biblio.ps}{Bibliography about multisymmetric polynomials}
  \item[11h00-12h00] Jean-Charles Faugère: Solving polynomial systems
    with symmetries; applications and algorithms.
  \item[12h30] Lunch
  \item[15h15-16h15] Adriano Garsia: Enumeration of reduced
    factorizations of permutations (video)
  \end{itemize}
\end{description}

\section*{List of participants}

\begin{itemize}
\item Emmanuel Briand, doctorant, IRMAR, Université de Rennes 1,
  FRANCE
\item Antoine Coste, chargé de recherche, CNRS, Université Paris-Sud,
  France
\item Ruth Enoch, graduate student in Purdue University, USA
\item Jean-Charles Faugère, chargé de recherche, CNRS, LIP6,
  Université Paris VI, France
\item Adriano Garsia, Professor, University of California at
  San-Diego, USA
\item Florent Hivert, maître de conférence, Université
  Marne-la-Vallée, France
\item Ugur Madran, graduate student, Department of Mathematics,
  Bilkent University, Turkey
\item Ioannis Michos, Post-Doc au LIAFA, Universite Paris 7
\item M.Angeles Gómez Molleda, Doctorant, Universidad de Cantabria,
  Spain
\item Mufit Sezer, graduate student in Purdue University, USA
\item Jim Shank, University of Kent at Canterbury, UK
\item Nicolas M. Thiéry, maître de conférences, Université Lyon I,
  France
\item David Wehlau, Professor, Department of Mathematics and Computer
  Science, Royal Military College and Department of Mathematics and
  Statistics, Queen's University, Canada
  
\end{itemize}

\end{document}
