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CIMPA-UNESCO-BURKINA
FASO
School
Index Theory and Interactions with Physics
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 (Ougadougou, 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.
-
Introduction to K-theory : Hervé Oyono
(Clermont-Ferrand, France)
-
K-theory and some applications: Adéremi
Kuku (ICTP/Nigeria)
-
The Atiyah-Singer
index theorem: Moulay Benameur (Metz, France)
-
Index theorems and anomalies : Denis
Perrot (Lyon, France)
-
Groupoïds and index theorem for stratified spaces
: Jean-Marie Lescure (Clermont-Ferrand, France)
-
A few analytic tools underlying the analytic index theorem: Sylvie Paycha (Clermont-Ferrand,
France)
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
Local web site: http://ecolecimpa09.univ-ouaga.bf
Deadline for registration:
March
28, 2009
Application procedure
and
Online registration
only for applicants not from Burkina Faso
Applicants from Burkina Faso must contact the local organizer:
Ouattara Moussa ou
ecolecimpa09@univ-ouaga.bf

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