Centre de recherches mathématiques - CRM Courses

Tuiles de Wang Apériodiques Associées aux Nombres Métalliques

Explore la théorie des pavages apériodiques et leur lien avec les nombres métalliques, allant au-delà du nombre d'or vers de nouvelles familles de pavages.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Quantum Groups, Vertex Algebras, and Geometric Invariants

Explore quantum groups and vertex algebras to construct invariants of knots and 3D manifolds, plus discover geometric invariants from logarithmic conformal field theories.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Extensions of Vertex Operator Algebras and Applications to Integrable Systems II

Explore advanced vertex operator algebra extensions and their connections to quantum groups, integrable systems, and the geometric Langlands program through tensor category techniques.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Extensions of Vertex Operator Algebras and Applications to Integrable Systems I

Explore vertex operator algebra extensions and their deformations, connecting quantum groups, tensor categories, and integrable systems with applications to critical level algebras.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

The Besicovitch Compression Phenomenon and the Kakeya Set Conjecture

Explore the Besicovitch compression phenomenon and its connection to the Kakeya set conjecture, covering geometric analysis, harmonic analysis, and PDE applications.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Hamiltonian Structure of Rational Isomonodromic Deformation Systems and Mathematical Physics

Explore advanced mathematical physics through lectures on Hamiltonian systems, quantum field theory, integrable systems, and modern applications in quantum computing and cryptography.

• YouTube
• 3 days 59 minutes
• Self-Paced
• Free Video

Mathematical Analysis - Stable and Unstable Spectral Inequalities, Geometric Analysis, and Differential Equations

Explore advanced mathematical analysis through expert videoconferences covering spectral theory, differential equations, geometric analysis, and harmonic functions.

• YouTube
• 1 day 21 hours 44 minutes
• Self-Paced
• Free Video

Atelier sur Théorie des Champs Conforme et Systèmes Quantiques à Plusieurs Corps

Explore advanced quantum many-body systems through conformal field theory, covering quantum Hall effects, topological matter, and critical phenomena in this intensive workshop.

• YouTube
• 1 day 12 hours 36 minutes
• Self-Paced
• Free Video

Mathématiques Appliquées - Neural Networks, Optimization, and Deep Learning

Explore advanced mathematical techniques bridging numerical analysis, machine learning, and optimization through expert lectures on neural networks, differential equations, and algorithmic methods.

• YouTube
• 1 day 14 hours 41 minutes
• Self-Paced
• Free Video

Atelier sur les Systèmes de Particules et Limites Hydrodynamiques

Découvrez les systèmes de particules en interaction et leurs limites hydrodynamiques à travers des conférences d'experts sur les modèles stochastiques avancés.

• YouTube
• 1 day 8 hours 28 minutes
• Self-Paced
• Free Video

CRM CAMP in Nonlinear Analysis - Computer-Assisted Methods of Proof

Explore computer-assisted proof methods for dynamical systems and nonlinear analysis through expert presentations on chaos, bifurcations, and rigorous numerical techniques.

• YouTube
• 2 days 10 hours 41 minutes
• Self-Paced
• Free Video

Mathematical Biology - Lab CAMBAM

Explore mathematical modeling techniques applied to biological systems including neural networks, cell behavior, cancer dynamics, and immune responses through expert videoconferences.

• YouTube
• 22 hours 15 minutes
• Self-Paced
• Free Video

On Liakopoulos's Dual Bollobás-Thomason Inequality

Explore advanced geometric inequalities and volume bounds for convex bodies through projections and intersections with coordinate hyperplanes and subspaces.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Variations of Geometry and Spectrum II

Explore how geometric variations affect spectral properties in this advanced mathematical seminar on spectral geometry by Chris Judge from Indiana University.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Variations of Geometry and Spectrum III

Explore advanced mathematical relationships between geometric variations and spectral properties in this specialized seminar on spectral geometry theory.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video