2021

Cette école CIMPA est dédiée aux groupoïdes de Lie et aux algébroïdes de Lie. Ces deux notions sont omniprésentes en géométrie et topologie différentielles, elles généralisent respectivement les groupes de Lie et les algèbres de Lie. Certains cours auront pour but l'étude de quelques classes remarquables des groupoïdes de Lie : groupoïdes de contact, groupoïdes symplectiques, groupoïdes de Poisson. D'autres seront consacrés aux algébroïdes de Lie riemanniens, et aux groupoïdes d'ordre supérieur.

The school will provide an introduction to both basic and more advanced topics in the moderntheory of dynamical system and ergodic theory. It will be aimed mostly at Masters level students and thus assume a reasonable general mathematical background but no previous specialised knowledge in the topics covered in the courses. The scientific content of the various courses will be tightly coordinated in order to provide the students with the possibility of a real concrete learning experience which can become the foundation for further study.

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 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.

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.

L'école CIMPA a pour but de donner une introduction à la théorie des systèmes dynamiques et ses applications. Deux aspects seront présentés: l'un est centré sur les systèmes dynamiques discrets, et leur étude via la théorie ergodique. L'autre concerne les systèmes continus, via les équations différentielles et EDP, et les applications possibles en lien avec la biologie. Ces deux aspects seront aussi évoqués dans un cours d'introduction à Sage, logiciel libre de calcul formel.

Langue officielle de l'école : français (avec 2 cours en anglais)

The school is intended for graduate students (M.Sc. and Ph.D.) and young researchers in Mathematics and Theoretical Physics of all levels. It will be dedicated to a wide range of themes on groups, Lie algebras, their representation theoretic aspects, and their applications in various fields in particular in quantization.

A complex number is called algebraic if it is a root of a non-constant polynomial with integer coefficients and is transcendental otherwise. Over recent decades, the transcendental nature of special values of certain arithmetic functions which verify functional equations has been a fascinating branch of Number Theory and attracts an incredible number of work. However, beautiful mysteries remain unsolved.

The school will focus on some stochastic aspects of mathematics and on algorithms used in this context. More precisely, classical random structures such as Markov chains, random walks, discrete combinatorial structures, random texts, chaotic dynamical systems will be considered and some tools to study them, mainly analytic combinatorics, will be given.

Les géométries algébriques réelle et effective ont connu un essor considérable ces dernières années, grâce notamment à l'invention de nouveaux outils et à l'utilisation de méthodes issues d'autres domaines des mathématiques (géométrie algébrique complexe, géométrie tropicale, géométrie symplectique, topologie algébrique, combinatoire, géométrie algorithmique, puissances de calcul actuelles sans pareil …).