Centre International de Mathématiques Pures et Appliquées

CIMPA-UNESCO-TUNISIA School

Report by Lotfi Kamoun

Report by Ahmad El Soufi

Participants

Objectives :

The theory of Dunkl had originated with the introduction by Charles Dunkl in 1989 of the Dunkl operators. At the same time, E.M. Opdam and G.I. Heckman and I. Cherednik have introduced similar operators by trigonometric methods. Since then, several mathematicians in the world became interested in this theory from several points of view. In particular, this theory is one of the major themes of research of "the school of harmonic analysis" in Tunisia. Several research studies have been published by Tunisian researchers in this field.

The school aims to provide basic training in basic Dunkl theories of rational and trigonometric setting and present the latest developments of these theories namely associated harmonic analysis, probabilities applications such as random process in the cones, in the chambers of Weyl, …..

The school’s goal is to contribute to the promotion of research groups working on the Dunkl theory and propose an opening theme for young researchers and openness to other geographical regions of the world especially Europe, America and Asia by providing the conditions to promote trade and the establishment of collaborations with mathematicians in these regions.

Organizers :

Lotfi Kamoun (University of Monastir, Tunisia), Maher Mili (University of Sousse, Tunisia), Ahmed El Soufi (François Rabelais University, Tours, France)

Working language :

French, English

Date and location :

April 13 – 25, 2009, Monastir (Tunisia)

Scientific program :

 Khalifa Trimèche (Tunis El Manar University, Tunisia) : Dunkl operators : Harmonic Analysis and Applications.
 Nizar Demni (University of Bielefeld, Germany) : Dunkl processes and their W-invariant parts. lecture
 Philippe Bougerol (University of Pierre et Marie Curie. Paris VI. France) : Littelmann path and Brownian motion.
 Bent Orsted (Arhus University, Denmark) : Lectures on Dunkl operators and applications. lecture1, lecture2, lecture3, lecture4
 Philippe Biane (University of Marne-La-Vallée, France) : Dunkl operators associated with roots systems.

Prerequisites :

A basic knowledge of classical harmonic analysis, special functions and continuous probability is desirable

Deadline for registration :

January 31, 2009

Application procedure and Online registration only for applicants not from Tunisia.

Applicants from Tunisia must contact the local organizer : Lotfi Kamoun (kamoun.lotfi@planet.tn)