2023

The summer school aims at introducing students, junior faculty members, and young researchers to important theories and applications of data visualization, statistical and mathematical modeling, and various mathematical tools for model analysis.  There will be seven courses which will cover a variety of topics from data modeling to in-depth analysis and mathematical justifications for data-based decision making.

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.

Quantum computers threaten to break most of the cryptography we currently use to protect our information security systems. In a quantum computer, performing operations comes from a quan- tum physical notion that works differently from a classical computer setting, and it gives an expo- nential speed-up for certain computations. To construct quantum-resistant cryptographic systems, we need a new class of hard mathematical problems. Many of them are currently competing in the National Institute of Standards and Technology (NIST) Post Quantum Cryptography Standardizati- on.

As it is described in the title the CIMPA School on “Differential Galois Theory and Applications to Mechanics” will be devoted to the application of the differential equation coming from Mechanical problems using tools from differential algebra and specifically the Differential Galois group.

L'école de recherche CIMPA N'Djamena 2023 vise à initier les étudiants de master, doctorants et les jeunes mathématiciens aux outils mathématiques et statistiques pour modéliser les systèmes complexes. L'objectif est de préparer les participants à modéliser des problèmes concrets ancrés dans les réalités africaines en abordant les défis d'actualité tels que les maladies infectieuses, la sécheresse ou encore les effets de la migration humaine sur les écosystèmes.

A blockchain is a digital list of data records, comprised by blocks which are organized in chronological order and are linked and secured by cryptographic proofs.

It started to secure digital documents from data tampering, and quickly lead to the creation of Bitcoin, the first decentralized electronic cash system, or cryptocurrency.

The school aims to introduce graduate students and young researchers to the modern theory of non-associative algebras and their applications, with a focus on Lie algebras, Leibniz algebras, incidence algebras, genetic algebras and their deformations. The courses will be focused on some key topics in description of algebraic systems with certain properties, algebraic systems over positive characteristic, deformations of algebraic systems, classifications of algebraic systems.

Purpose of the school is to bring together some research top- ics in geometry together with their interconnections, in particular:

• sub-Riemannian geometry;

• Poisson geometry;

This school, whose topics lie at the threshold of geometry, topology, algebra and quantum field theory, is the eleventh of a series of summer schools organized in Colombia every other year since July 1999. It is addressed to both physicists and mathematicians with a master’s level in either of the fields and offers courses on the following topics:

The study of error-correcting codes has posed a large number of intriguing and important questions in several areas of mathematics, such as algebra, number theory, combinatorics, algebraic geometry etc. In addition it is vital tool in making transmission of data robust against noise. In this school, we are going to present several lectures on the usage of techniques in finite geometry in the study of error-correcting codes.