Morocco

The main purpose of this school is to give to PhD students and to young researchers of the introductory courses on subjects using at the same time the differential geometry and the non- associative algebras. Besides, the program of this school will contain conferences of researchers specialists in these domains with the aim of showing to the participants some current subjects of researches in the themes of this school.

Linear Algebra and Operator Theory are powerful tools in the study of Quantum Mechanics. The main aim of this CIMPA research school is to introduce students, young researchers and all interested mathematicians having background in linear algebra and basic operator theory to the foundations of Quantum Mechanics and Quantum Information.

Les équations aux dérivées partielles (EDPs) permettent d’aborder d’un point de vue mathématique des phénomènes observés, par exemple dans les domaines de la physique et de la chimie. Ainsi, un très grand nombre de problèmes de la mécanique des milieux continus, des sciences de l’ingénieur peuvent être modélisés par des équations aux dérivées partielles. La liste des types d’EDP s’est enrichie au fur et à mesure du développement des sciences et en particulier de la physique.

During the last three decades and in a technological and economical complex world, mathematical models play an important role in the decision-making tools. Indeed, whether to develop and calibrate models, measure and control risks associated with economic phenomena or financial instruments, mathematical tools provide skills highly appreciated to better understand these phenomena and improve prediction of their inherent risks.

This research school aims at providing the basic notions in epidemiology and modelling to students, or researchers, in mathematics and statistics, so that they can apply their knowledge to solve practical problems, that is:

The aim of the school is to familiarize the participants with the concepts of singularities of algebraic and analytic spaces and holomorphic and real analytic maps and foliations. The approach will be geometric, algebraic, topological as well as analytic. The lectures will be introductory, focusing on the general aspects of singularity theory as well as on low dimensional cases. The goal of each lecture is to bring the participants up to the level necessary to start active research in the subject.

The purpose of this school is to allow young researchers to acquire the main notions of symplectic geometry and low-dimensional topology, and to access the recent developments in these domains. The program of the school will make a wide part for the various aspects of the interactions between symplectic geometry, contact topology on one hand, and knot theory, topology of low-dimensional manifolds on the other hand, in particular Floer homology and its derivatives.

L’école vise deux objectifs majeurs :

"École dédiée à la mémoire d'Ahmad El Soufi"

La liberté, dans sa acception probabiliste, est une forme d’indépendance adaptée à des variables aléatoires non commutatives. Elle a été introduite par D. V. Voiculescu dans le but de résoudre le problème de Kadison sur l’isomorphisme entre les facteurs de von Neumann du groupe libre. La théorie des probabilités libres qui en est issue présente beaucoup d’analogies avec les probabilités classiques tout en ayant des outils et des champs d’application distincts.

This Research School is addressed graduate students and young researchers in Geometry, Topology and Mathematical Physics, although undergraduates and senior researchers in other areas may profit of the introductory lectures too, and are warmly invited to join the School.