2026

Introduction to Dynamical Systems Analysis

Lecturer: PATRICK MIMPHIS TCHEPMO DJOMEGNI

Abstract

Most real-world problems and the fundamental laws of physics are formulated in terms of differential (often nonlinear) or difference equations (DEs). Despite significant advances in analytical techniques, the majority of nonlinear DEs do not admit explicit solutions. This course is devoted to the analysis of continuous-time dynamical systems, with an emphasis on qualitative rather than quantitative methods. In particular, the module examines system stability and sensitivity to small perturbations.

Around the Langlands program

Born in a letter of Robert Langlands to André Weil in 1967, the Langlands program seeks to establish a far-reaching web of conjectures relating seemingly distant areas of mathematics, primarily number theory, representation theory, and algebraic geometry

This thematic month will focus on some of the most important current directions of this program: the geometric Langlands program, the p-adic Langlands program, the geometrization of the Langlands program, and relative Langlands duality.

FOUVRY - 73

Titre: FOUVRY - 73

Week 1-2 (17 August- 28 August 2026): Summer school
Week 3 (31 August -4 September 2026): Workshop
Week 4 (7-11 September 2026): Scientific collaborations

General summary:

AMS Modern Mathematical Tools: Applications in Science and Engineering

Coordinator: Joaquim M. C. Correia (Universidade de Évora, Portugal)

Operator Algebras: Approximation, Rigidity and Dynamics

Operator algebras are self-adjoint subalgebras of the bounded operators on a Hilbert space and divide into two main classes: C∗-algebras and von Neumann algebras, according to whether one demands that they are closed in the norm topology or the weak operator topology.

Collaborative Workshop on Arithmetic Groups (ADG VI)

The central objective is to gain a solid understanding of Aurel Page’s advanced course on Arithmetic Groups that will be held at the end of the workshop. During this course, the following topics will be covered: reduction theory, strong approximation, arithmetic manifolds, Hecke operators, equidistribution, etc. We plan to divide this Collaborative Workshop on Arithmetic Groups into four phases.

From theory to practice: Innovative mathematical research in the real world

This collaborative workshop will consist of 9 research groups under the supervision of an expert working on recent research developments in analysis, modeling, data analysis, number theory, and scientific computing, with applications to real-world problems.

Mathematical Developments in Geophysical Fluid Dynamics

Geophysical Fluid Dynamics covers a wide range of applications in atmospheric and oceanic sciences with direct connections to the challenges of climate change. Historically studied by physicists and applied mathematicians, rotating fluids have been the subject of many recent results involving the analysis of PDEs. However, exchanges between these communities remain relatively rare and isolated.

Illustration as a Mathematical Research Technique

Mathematical understanding is built in many ways. Among these, illustration has been a companion and tool to research for as long as research has taken place. We use the term illustration to encompass any of the many ways one might bring a mathematical idea into physical form or experience, including computer visualization, 3D printing, and virtual reality, among others. With modern tools, illustration can even make mathematics an experimental science, so that computational results can drive the cycle of problem, conjecture, and proof.

Modélisation mathématique des écoulements et du transport de polluants dans les sols et les nappes souterraines

L’exploitation minière en Mauritanie, avec l’usage intensif du cyanure et du mercure, menace les sols et les nappes phréatiques en raison de la dispersion de ces polluants toxiques. Cette école vise à former chercheurs et étudiants aux techniques avancées de modélisation pour mieux comprendre et anticiper cette contamination.

2026