English

The project is to give backgrounds in rings, modules, and category and show applications in coding and modern computer Algebra. 

Langue officielle de l'école : anglais

The School aims to introduce students to the mathematical and statistical underpinnings of some of the latest Data Science methods that seek to address the challenge of Big Data analysis. There will be an emphasis on matricial methods both in modelling and in numerical computations. The topics covered will include Randomized Numerical Linear Algebra, Deep Generative Models, Bayesian Nonparametric Models and their Asymptotic Properties, Modern Graphical Models and High- Dimensional Statistics Based on Random Matrix Theory.

The courses will start by introducing randomized numerical linear algebra, deep generative and modern graphical models, fundamental for problems of interest in machine learning and statistical data analysis. For all lectures there will be dedicated exercises with practical problems (in particular with R and/or Python) to be solved by the students under the experts’ guidance.

There will be also be seminars by workshop participants to showcase their works as well as invited talks by Data Science experts in South Africa to expose participants to real world problems being worked on by academics and industry practitioners.

Langue officielle de l'école : anglais

Isogenies of elliptic curves, or more generally of abelian varieties, are surjective homomorphism having finite kernel and they play an important role in the study of arithmetic and geometric properties of elliptic curves. Moreover in recent years there has been an increasing interest in isogeny of elliptic curves from cryptographers. The main reason lies in quantum computer as Luca de Feo eloquently puts it: ''The main reason for this is the sudden realization by the cryptographic community of the very possibly near arrival of a general purpose quantum computer. While the capabilities of such futuristic machine would render all of Elliptic Curves Cryptography and Pairing Based Cryptography suddenly worthless, Isogeny Based Cryptography seems to resist much better to the cryptanalytic powers of the quantum computer'' (Mathematics of Isogeny Based Cryptography, arXiv:1711.04062).

The first week of the school will be devoted to lay down the basis for the more advanced courses of the second week, in particular we will have courses on Algebraic Number Theory, Finite Fields,

Elliptic Curves, Graph theory (actually this last course is split between the 2 weeks) all this courses are introductory and the will have exercise/training session. In the second week we have one introductory course Elliptic curves over Finite fields and their Endomorphisms Rings, and two advanced courses Isogenies of Elliptic curves and Isogeny based cryptography. For the courses of the second week we plan to have hands on training sessions (i.e. on computers) as well as exercises sessions.

Langue officielle de l'école : anglais

Text of presentation of the School: ​Provide here a synthetic text of presentation of your school with no more than 150 words (again according to the official language).

Devant l'explosion de masses de données émanant de toutes les activités, il apparaît un besoin croissant de développer des outils d'analyse, de traitement et de prédiction. L’École de Recherche «Approches d’apprentissage automatique - Applications aux données de santé » apportera les notions fondamentales et techniques en Statistiques, Machine Learning et Algorithmique pour appréhender l'exploitation de masses de données, les comprendre, les analyser, et en extraire des informations utiles pour la décision. Un zoom particulier sera fait sur l’analyse des données de biologie-santé qui comportent d’importantes promesses pour les actions de santé publique, profitables au plus grand nombre. Les thématiques abordées seront :

●  Optimisation et statistiques,

●  Apprentissage statistique à grande échelle,

●  Algorithmique avancée,

●  Apprentissage profond,

●  Analyse et traitement de données de biologie-santé.

Language officielle de l'école : français (avec les documents en anglais)

Optimization problems are encountered in many fields (engineering, finance, economics) an can lead to various mathematical formulations: convex or nonconvex type function, blackbox function, integer or continuous type and with various constraints. In some cases, it is also important to treat the effect of uncertainties and also to handle a large amount of data measurements. 

The objective of this CIMPA school is to present various topics in the field of optimization and data assimilation in order to solve such applied problems. In all the courses, a particular application will be targeted in order to apply the mathematical tools that will be presented.

The research school will give participants the opportunity to learn recent developments on topics including data analysis, modeling and optimization techniques and to discuss about current situation of own research activities, improvement and collaboration with invited experts.

Langue officielle de l'école : anglais

The aim of the school is to introduce graduate students to the modern categorical methods in representation theory. The three courses of the first week will focus on the basic elements required for further topics. Thus, these courses will consist on brief recollections and introductions to: Categories and modules, group actions and bisets, linear representations of finite groups and block theory. For all of them there will be training sessions in the afternoons, where problems, doubts and related questions will be discussed.

During the second week there will be three advanced courses intended to be an exposition of the recent trends in representation theory of finite groups and related algebras. The subjects of these courses will be: Blocks of finite quasi-simple groups, cohomological methods in block theory, and fusion systems and Burnside rings. Besides lectures, we are also planning four talks regarding complementary topics in algebra.

Langue officielle de l'école : anglais

This school aims at providing interested graduate students from Uzbekistan and other Central Asian countries with the basic notions and some recent ideas and techniques at an advanced stage of current research in a wide spectrum of themes from classical complex analysis, pluripotential theory, geometry of compact complex manifolds and holomorphic dynamics.

The three main themes, complex analysis, geometry and dynamics, are interrelated. Each of them is first treated in an introductory course, that provides the basic notions, ideas and techniques of the subject, and is subsequently given an in-depth illustration through recent results at the forefront of current research in pluripotential theory, with geometric applications, in Kähler and non-Kähler complex geometry and, respectively, in complex dynamical systems.

Langue officielle de l'école : anglais

The objective of this research school is to present a wide range of applications of the theory of finite-dimensional optimal control to engineering. First, we will pro­ pose a rigorous introduction to the theoretical basis of the theory with two courses (by F. Chittaro and L. Poggiolini) of Optimal Control completed with exercise sessions. Then, we will propose sev­ eral courses devoted to some applications of the previous courses to some problems in engeneering. The first course (by E. Busvelle) will be concerned with the construction of feedback syntheses in connection with problems of observability and with applications for example to optimal driving problem or energy consumption of a car. The second course (by J.-B. Caillau and 0. Cots) will fo­ cus on numeric resolution of optimal control problems in aeronautical and aerospace mechanics. The third course (by J.-P. Gauthier) will be devoted to the motion planning problem. All those courses will include computer sessions.

Langue officielle de l'école : anglais

The ABS CIMPA School 2021 of Finance & Operation Research aims to offer advanced training on recent issues at the interface of quantitative finance and operational research. The school targets pre and post-doctoral students, teacher-researchers of Morocco, other countries in Africa and beyond, local research engineers and research financial.

All speakers are confirmed researchers. A second objective of the school is to animate a research network and to feed the research agenda of the Africa Business School on these subjects.
The program will cover advanced financial modeling topics (e.g. Levy processes, credit risk, non-linear pricing), stochastic optimization and switching, as well as issues of optimization and game theory involving propagation of chaos techniques, mean fields and principal agents.

Langue officielle de l'école : anglais