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2008 MOROCCO

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CIMPA-UNESCO-MOROCCO School

Riemannian Geometry, pseudo-Riemannian Geometry and Mathematical Physics

Objectives :
Riemannian and pseudo-Riemannian geometry, and differential and algebraic topology, are among the most active research areas in the Maghreb. Maghrebian mathematicians interested in these topics have regrouped themselves under the informal “Groupement pour le développement de la Géométrie et la Topologie au Maghreb”, GGTM.
Proposed courses should provide the participants with an introduction to recent developments in Riemannian and pseudo-Riemannian geometries and their interactions with mathematical physics. On the other hand, this project aims to establish favorable conditions for rich collaborations between mathematicians from America and Europe and African mathematicians.

Organizers :
Mohamed Boucetta (Cadi-Ayyad University, Marrakech-Morocco), Ahmad El Soufi (François Rabelais University, Tours-France).

Working languages:
English, French

Date and location:
May 19-30, 2008, Faculty of Science and Techniques, Marrakech (Morocco)

Scientific program and lecturers: (abstracts)

1) Abdelhak Abouqateb (Université Cadi-Ayyad, Marrakech, Morocco) et Daniel Lehmann (Université de Montpellier II, France): Principal bundles and connections
2) Helga Baum (Humboldt-Universität, Berlin, Germany) : Introduction to holonomy theory of Riemannian and Lorentzian manifolds
3) François Béguin (Université Paris VI, France) and Abdelghani Zeghib (ENS Lyon, France) : Constant curvature spacetimes
4) François Béguin (Université Paris VI, France) and Abdelghani Zeghib (ENS Lyon, France): Bianchi Cosmological models
5) Mohamed Boucetta (Université Cadi-Ayyad, Marrakech, Morocco): Curvatures in Riemannian and pseudo-Riemannian Geometry
6) Piotr Chrusciel (Université François Rabelais de Tours-France, et University of Oxford, UK): Introduction to black holes
7) Aziz El Kacimi (Université de Valenciennes, France) : The de Rham cohomology as an example of topological invariant. (lecture, in French)
8) Ahmad El Soufi (Université François Rabelais, Tours, France) : Natural operators in Riemannian Geometry
9) Evans Harrell (Georgia Institute of Technology, Atlanta, USA) : Mathematics of quantum mechanics on thin structures. (lecture1, lecture2, lecture3)
10) Aziz Ikemakhen (Université Cadi-Ayyad, Marrakech, Morocco) : Introduction to spinorial geometry (lecture, in French)
11) Jim Isenberg (University of Oregon, USA) : Finding Solutions of the Einstein Constraint Equations
12) Franck Pacard (University Paris XII, France) : TBA

Prerequisites:
For most of courses, the prerequisites consist in basics of Riemannian Geometry

Deadline for registration : February 28, 2008

"GGTM Conference on Geometry and Topology"
"Guide of the CGTM Conference"

Application procedure and Online registration only for applicants not from Morocco
Applicants from Morocco must contact the local organizer Mohamed Boucetta (boucetta@fstg-marrakech.ac.ma)