Logo CIMPA

2018

The school aims to introduce graduate students and young researchers to the modern theory of dynamical systems and its applications, with a focus on geometric, topological, and numerical methods. The courses will be focused on some key topics in low and high dimensional dynamics, including Hamiltonian systems, Celestial Mechanics, statistical properties of dynamical sysyems and their relation with the underlying geometric structures. The participants will be provided with an introduction to the basic material with the necessary background, before proceeding with the more advanced topics.

Commutative algebra and its multiple applications have grown considerably in recent years. The main purpose of the school is to present both, basic aspects of commutative algebra as well as more advanced tools focused on applications to combinatorics, coding theory and statistics. Participants will be provided with the basics on the combinatorics of binomial ideals and its relations with coding theory and algebraic statistics problems through courses and talks on the following topics:

The topics of this school will be on geometric and homological methods in the representation theory of associative algebras, and their applications. This school will offer five short courses with an intensity of twelve hours each (six hours theoretical and six exercise hours). The lectures will run over the three following main topics:

  • Geometric aspects of the representation theory ofalgebras.
  • Homological aspects of the representation theory of algebras.
  • Applications of the representation theory of posets and algebras.

The goal of this school is to explain several methods and result from modern Riemannian and symplectic geometry and from Hamiltonian systems, and to use them to study old problems in celestial mechanics. Among the tools are symplectic embeddings by elementary and less elementary methods, J-holomorphic curves, and systolic inequalities in Riemannien, contact and symplectic geometry. We shall apply these tools to study very explicit problems on the motion of Moon, Earth, and Sun in the form of the restricted 3-body problem and several of its limits.

This summer school is the sixth "Encuentro Colombiano de Combinatoria (ECCO)” (Colombian Meeting on Combinatorics). Previous ones took place in Bogotá, Colombia in 2003, 2008, 2012, and 2014, and in Medellín, Colombia in 2016. The main objectives of the school are to bring young mathematicians from Latin America, Canada, USA and Europe into close contact with each other along with world experts in various fields of combinatorics and related areas and to promote mathematics among young students in a motivating environment.

Cette école explorera l'arithmétique et ses différents aspects calculatoires, algorithmiques et cryptographiques. Elle vise à promouvoir la théorie des nombres et la cryptographie auprès des étudiants et chercheurs de l’Afrique Centrale.

La théorie du contrôle (et stabilisation) des EDP et les problèmes inverses sont deux thé- matiques connexes et occupent une place importante dans l'analyse des EDP. Leur étude fait appel à à de nombreux outils, en particulier les inégalités d'énergie. De plus, la géométrie riemannienne se trouve à la frontière de ces deux thématiques. Cette Ecole se propose d'offrir des cours qui répondent au besoin de formations dans ces divers domaines: contrôle et stabilisation, problèmes inverses, inégalités de Carleman, géométrie riemannienne.

Notre département de mathématiques et Informatique à organisé une « Rentre Mathématique Hispano-Marocaine (RMHM), Casablanca 12-15 Novembre 2008 » en collaboration avec la Commission de Développement et de Coopération du Comité Espagnol de Mathématiques, CDC-CeMAT (http://www.ce-mat.org). D’autre part, des journées mathématiques sont organisées annuellement chez nous à l’échelle nationale, régionale ou locale. Durant la période 2008-2016, une génération ambitieuse de jeunes enseignants et d’étudiants, ayant besoin d’un repère comme la RMHM, est apparue.

The aim of this CIMPA school is to provide a stimulating intellectual environment for researchers from Viet Nam and neighboring countries in Asia to interact. The school is primarily oriented towards PhD students and young researchers working in the area of stochastic partial differential equations, stochastic dynamics, stochastic analysis and their applications.