2022

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

Official language of the school: English

The objective of the school is to provide graduate students and young researchers with introductory courses and specialized lectures on partial differential equations (PDE), calculus of variations, and their applications. The courses will concern the contemporary methods as well as recent advances and tools in PDE theory and calculus of variations with various applications in transport theory, shape optimization, kinetic theory, geometric analysis, control theory and engineering. The total duration of the school scientific activities is fifty seven (57) hours.

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.

Le traitement du signal, des images, ou des données en général, connaît un essor fulgurant partout dans le monde, tant sur le plan de la recherche pure, que la recherche appliquée avec des applications, entre autres, en santé, finances, agriculture, pêche, intelligence artificielle. L’objectif de cette école est de proposer des cours introductifs et avancés pour les étudiants de niveau master, jeunes chercheurs et collègues enseignants-chercheurs intéressés et désireux de se réorienter vers cette thématique très féconde.

The school aims to introduce graduate students and young researchers to key topics in algebraic number theory and arithmetic geometry and their computational aspects. Modular forms and elliptic curves will be central, with a view towards Galois representations, complex multiplication and class field theory. Understanding of the abstract theory will be facilitated by an explicit and algorithmic approach, through an interactive approach where we will make use of freely available computer algebra systems.

The study of geometric objects via groupoids appears in many branches of mathematics and physics.

In this school, we intend to introduce modern mathematical modelling tools which are useful to solve and analyse ecological, medical and environmental challenges. Our aim is to prepare students and staff members for concrete problems arising in mathematical modelling in ecosystems, more particularly environmental and ecological issues that can be applied in the context of South-East Asia. We will present theoretical and numerical lectures about deterministic and stochastic differential equations and their calibration.

This summer school is an intensive two-week hand on initiative on a variety of selective contemporary mathematical and computational topics in data analysis and imaging. One week focuses on the use of relevant mathematical softwares, algebra and convex geometry in data analysis. The other week covers inverse scattering, X-ray tomography, and data-driven model discovery for dynamical systems.

Official language of the school: English

In this school we intend to focus on different concepts Combinatorics and its applications. The school will provide an introduction to both basic and more advanced topics. The scientific content of the various courses will be tightly coordinated in order to provide students with a possibility of the real concrete learning experience which further can become a foundation for the further study. We expect audience from Master, Phd and young faculty who are currently working or planning to work in this interesting area of Mathematics.

The summer school aims to gather young researchers and to give a motivating goal along which the participants will be able to aggregate new knowledge. The research topics include function field arithmetic, algebraic curves over finite fields, complex multiplication, boolean functions, finite geometry, and combinatorics. The school will be mostly structured into working sessions in small groups under the direction of at least one lecturer. Before the beginning of the school, the lecturers will propose open problems together with pre-request material (books/papers).