2011

The modern Statistics and Probability Theory are domains of mathematics that need to be developped in North African and other African countries, as well research in these fields as their teaching. In addition to theoretical aspects, stochastic and statistical modelling have very numerous applications in other sciences, in economics and and in socio-economics. This modelling is an important factor of developpement.

The aim of this school is to introduce the younger researchers and graduate students to the modern trends of the theory of singularities, including both algebraic and geometric aspects, and both classical approaches and the newest ones, related to derived categories, noncommutative geometry, representation theory, tropical geometry, etc. In particular, introductory courses in these areas will be given. Applications of the theory to mathematical physics (Young-Mills equations, mirror symmetry, etc.), computer science and other fields will also be considered.

The aim of the School is to train young students in research activity in several areas of Geometric Representation Theory. The proposed topics include areas which are currently very active and the School intends to initiate the students in research by proposing them Research Projects under the supervision of senior researchers involved in the School. The school is going to give sufficient background to provide the students with the necessary tools to start their PhD work.

We intend to provide an introduction to various important aspects of Algebraic Geometry, including applications of current interest. The courses during the first week will focus on the following subjects:

The motivation of this school is to initiate new interests or vocations in this field, where fundamental mathematical topics and algorithmic issues can be combined to solve practical geometric problems that appear in many applications. The potential of research developments in this domain is important, both from a theoretical, an algorithmic or an applicative point of view. A good background both in mathematics and computer science is a main asset for these investigations.

L’objectif est de démarquer l’Afrique Centrale des autres écoles de mathématiques en Afrique en y développant un centre de compétences en systèmes dynamiques (au sens large). Ceci inclut le traitement des équations différentielles ordinaires. Nous nous appuyons pour cela sur le travail accompli depuis une dizaine d’années par le Réseau EpiMath , qu’il s’agit ici de renforcer. Le centre à développer sera constitué de deux composantes : l’une concernant les systèmes dynamiques, l’autre l’analyse numérique.

This school, with some 50 odd expected participants, aims at introducing master or Phd students and post docs from Colombia or nearby South American countries, to active topics of research lying at the threshhold between theoretical physics and mathematics.

It runs over three weeks, so as to encourage interactions between the speakers and participants, enabling them to set up long term scientific interactions.

Historically, applied mathematics in the region was very much biased towards engineering and mathematical physics. At the same time, Africa has been experiencing serious problems with various diseases (HIV/AIDS, Malaria, Tuberculosis, etc). Only in recent times has Southern Africa started to respond by harnessing its mathematical expertise towards the control of diseases. The most recent action in this regard is the establishment of the South African Centre for Epidemiological Modeling and Applications (SACEMA).

The main aim of the school is to offer to the audience a broad introduction to the metric aspects of non-commutative geometry with a more specific focus on spectral geometry in the language of A.Connes’ spectral triples, their several variants (in quantum groups and in modular theory) and their important applications in mathematics (spin geometry, index theory, number theory) and physics (quantum mechanics, quantum field theory, quantum gravity).

The general aim of ELAMs is to strenght the interaction and collaborationg among latinoamerican mathematicians giving the opportunity to meet, share their work and discuss issues concerning mathematics in this region.

The mathematical aim is to contribute to the development of new subjects, making PhD student and young researchers familiar with them.