2016

Mathematical modeling in biology and medicine is undergoing a major development in order to meet the health and environmental challenges we face today. It allows better understanding, and accurate prediction of the dynamics of complex biological systems. Specific tools based on ordinary or partial differential equations and optimization methods need to be developed in collaboration with Mauritius, Réunion, Malagasy Republic, South Africa and other countries of the Indian Ocean, particularly with respect to the epidemiological aspects.

Geometric flows are burning topic now a days which involve the evolution of Riemannian metric along with some geometric concepts.

Ces dernières années ont vu un renouveau de l’étude des graphes combinatoires par une approche issue de la physique mathématique, de la théorie du potentiel ou de la géométrie riemannienne. Cette École de recherche propose d’aborder ces questions avec :

Les conférences et cours proposés concernent trois communautés de chercheurs travaillant sur la modélisation du vivant par EDP par EDO (dynamique des populations, génomique, ... ) ou par Analyse Stochastique. Les cours concerneront aussi bien les aspects mathématiques et le développement de méthodes numériques que l’utilisation de la simulation numérique pour la compréhension des phénomènes biologiques.

The objective of our school is to introduce participants to the formulation of mathematical and computer models in epidemiology, immunology, ecology and agronomy and the use of tools of dynamical systems and numerical analysis in the analysis of real situations epidemics within a human or animal population of pests of plants and plant population dynamics.

This CIMPA School will introduce participants to selected topics of Mathematics with direct applications in privacy and security issues. The presentations will include the necessary background in order to understand the main concepts, as well as many motivating examples of the application of these topics to particular security and privacy issues, together with open problems in the corresponding areas. The aim is to motivate a group of bright students to continue working in those areas at the doctoral or postdoctoral level.

Lattices play a central role in number theory and its applications. The aim of this school is to introduce participants to the ubiquity of lattices in number theory, algebra, arithmetic algebraic geometry, cryptography and coding theory. The theory of lattices will be developed from its very beginning and the basic notions required for the applications in number theory, algebra, arithmetic algebraic geometry will be provided. Appearances of lattices that we intend to cover include: The natural lattices structures of Mordell-Weil groups and unit groups. Lie algebra root lattices.

Cette école propose de renforcer les échanges scientifiques entre les chercheurs des iles de l’Océan Indien et leurs collègues français et espagnol ainsi que de former à la recherche les étudiant(e)s en thèse et en Master des îles Comores, de Madagascar, de Maurice, de l’Ile de la Réunion sur les thèmes abordés lors de ces journées scientifiques. Un des objectifs de l’école est d’établir et/ou renforcer un véritable tissu d’échanges, de collaborations et de formations durant une dizaine de jours.

This Research School is addressed graduate students and young researchers in Geometry, Topology and Mathematical Physics, although undergraduates and senior researchers in other areas may profit of the introductory lectures too, and are warmly invited to join the School.

Combinatorics is at the center of many areas in pure and applied mathematics. This summer school will focus on the versatility of combinatorics to shed light on problems in algebra, geometry, optimization, and mathematical physics. We will also discuss how algebraic and geometric perspectives can help us understand purely combinatorial objects.