Centre International de Mathématiques Pures et Appliquées

CIMPA-UNESCO-BURKINA FASO School

Report by Moussa Ouattara

Report by Sylvie Paycha

Report by Marie-Françoise Roy

Objectives :

The aim of the school is to introduce the audience to one of the pillars of 20th century mathematics, namely index theory, a topic at the cross-roads of various areas of mathematics including geometry, topology and analysis, with many applications in theoretical physics. Index theory is still a very active area of research with many intersting recent developments around the family index theorem and the noncommutative analog of the classical index theorem

Organizers :

Akry Koulibaly (Ouagadougou, Burkina Faso), Sylvie Paycha (Clermont-Ferrand, France)

Local organizing committee :

Mikaïlou Compaoré, Marie-Françoise Ouédraogo, Nakelgbamba Boukary Pilabré

Working languages :

Mainly French with some talks in English

Date and location :

May 21-29, 2009, University of Ouagadougou, Burkina Faso

Scientific program (abstracts) :

Five mini-courses (around 5 hours each) will take place in the morning with two of one and a half hour sessions a day. Talks, exercise sessions and informal discussions will take place in the afternoon.
 Quelques outils d’analyse fonctionnelle : Hamidou Toure (Univ. Ougadougou, Birkina Faso)
 Introduction to K-theory : Hervé Oyono (Clermont-Ferrand, France)
 K-theory and Index theory : Adéremi Kuku (ICTP/Nigeria) - lecture
 Introduction to index theorem for stratified spaces : Jean-Marie Lescure (Clermont-Ferrand, France)
 A few analytic ang geometric tools underlying the analytic index theorem : Sylvie Paycha (Clermont-Ferrand, France) - lecture

Prerequisites :

This school is meant for Master students with some knowledge of functional analysis and differential geometry as well as for any mathematician willing to get acquainted with index theory and its applications.

Deadline for registration :

April 4, 2009

Application procedure and Online registration only for applicants not from Burkina Faso.

Applicants from Burkina Faso must contact the local organizer : Ouattara Moussa (ouatt.mouss@univ-ouaga.bf) or ecolecimpa09@univ-ouaga.bf