Morocco

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.

Cette école comporte une série de mini-cours qui portent sur la modélisation mathématique, l’analyse mathématique des équations aux dérivées partielles linéaires et non-linéaires, les méthodes d’approximation, la mise en œuvre sur ordinateur de ces méthodes et la conception de logiciels de calcul scientifique.

Le Workshop comporte des conférences plénières, des communications orales et des sessions Posters.

School’s duration is two weeks (ten full days). First week will be devoted to the general theory. Three main directions will be presented : linear theory in finite and infinite dimensions ; the nonlinear case dealt with as a perturbation of the linear case ; and bifurcations from an equilibrium towards a periodic orbit. The second week will be focused on applications with, at a first place, the geometry of delay differential equations.

the objective of the school is to present to young researchers recent developments in the field of
probabilistic methods for nonlinear PDEs.