Riemannian Geometry, pseudo-Riemannian Geometry and Mathematical Physics

Location

MARRAKECH
,
Morocco

Dates

to

Presentation

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.

Administrative and scientific coordinators

Mohamed Boucetta (Université Cadi-Ayyad,
Morocco
, )
Ahmad El Soufi (Université de Tours,
France
, )

Scientific program

Course 1: "Principal bundles and connections ", Abdelhak Abouqateb (Université Cadi-Ayyad, Morocco) & Aziz El Kacimi (Université de Valenciennes, France)

Course 2: "Introduction to holonomy theory of Riemannian and Lorentzian manifolds ", Helga Baum (Humboldt-Universität Berlin, Germany)

Course 3: "Constant curvature spacetimes ", François Béguin (University Paris VI, France) & Abdelghani Zeghib (ENS Lyon, France)

Course 4: "Bianchi Cosmological models", François Béguin (University Paris VI, France) & Abdelghani Zeghib (ENS Lyon, France)

Course 5: "Curvatures in Riemannian and pseudo-Riemannian geometry", Mohamed Boucetta (Université Cadi-Ayyad, Morocco)

Course 6: "Introduction to black holes", Piotr Chrusciel (Université François Rabelais, Tours, France)

Course 7: "Natural operators in Riemannian Geometry", Ahmad El Soufi (Université François Rabelais, Tours, France)

Course 8: "Mathematics of quantum mechanics on thin structures", Evans Harrell (Georgia Institute of Technology, Atlanta, USA)

Course 9: "Introduction to spinorial geometry", Aziz Ikemakhen (Université Cadi-Ayyad, Morocco)

Course 10: "Finding Solutions of the Einstein Constraint Equations", Jim Isenberg (University of Oregon, USA)

Website of the school

How to participate