2005 Tunisia

2005 TUNISIA

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Scientific reports

Jean Ludwig (in French, format pdf)
Richard Grin (in French, format pdf)

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CIMPA-UNESCO-TUNISIA School

Quantization and Harmonic Analysis

Objectives :

The aim of this school is to present precise and complete informations, which can be used immediately, on mathematical theories (quantization and harmonic analysis on non commutative groups), to students, who are finishing their master studies or are at the beginning of a thesis.
Since this summer school is realized at the end of a CMCU cooperation project between France and Tunisia, more precisely the universities of Dijon and Metz and those of Monastir and Sfax, we hope to profit from this school to bring all the participants of this project together and to take stock of the results obtained in this project. The school is aimed first at the master and thesis students of the tunisian universities taking part in the project. However we hope also to attract students and researchers of other universities, from other african and european countries and to allow thus these students and researchers to meet and to exchange their experiences and their ideas. We intend to make copies of the lectures for distribution to the students and to publish the contributions of the speakers in the colloquium attached to the school.

Scientific directors and organizers:

Jean Ludwig, professor at the university of Metz,
Didier Arnal, professor at the university of Burgundy,
Ali Baklouti, associate professor at the faculty of sciences of Sfax,
Mohamed Selmi, professor at the faculty of sciences of Monastir,
Tilmann Wurzbacher, professor at the university of Metz.

Local organizers:

M.Selmi, A.Baklouti, M.Ben Ammar

Working languages:

French, English

Date and location :

August 29-September 10, 2005, Monastir (Tunisia)

Scientific programme and speakers:

There are two principal subjects:

1. Harmonic Analysis (especially on solvable Lie groups or infinite dimensional groups appearing in field theory):

H. Fujiwara (University Kinki in Fukuoka, Japan):

Analysis of unitary representations of exponential solvable Lie groups,

D. Müller (University of Kiel, Germany):

Solvability of dissipative second-order differential operators on the Heisenberg group

K. H Neeb (University of Darmstadt, Germany):

Infinite-dimensional Lie groups and their geometry.

2. Quantization (especially the geometric aspects of this theory:)

S. Gutt (University of Metz):

Présentation générale de la quantification par déformation,

O. Mathieu (University of Lyon I):

Formality in algebraic topology

T. Ratiu (Ecole Polytechnique Fédérale de Lausanne, Switzerland):

title to be announced.

A fourth speaker is planned in this subject.

Prerequisites :

The school is aimed at junior and senior researchers having a basic background of the theorie of Lie groups and their representations and of differential geometry.

Local web site: http://www.math.univ-metz.fr/ecoles/Monastir05.html