Centre International de Rencontres Mathématiques Courses

On Anomalous Diffusion - Lecture 2

Explore advanced mathematical frameworks for understanding anomalous diffusion in turbulent scalar fields through fractal homogenization techniques.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Wave-Wave Interactions in Rotating Stratified Flows - Lecture 2

Explore wave turbulence theory applied to rotating stratified fluids, covering theoretical challenges and current experimental approaches in ocean and atmospheric dynamics.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

Wave-Wave Interactions in Rotating Stratified Flows - Lecture 1

Explore wave turbulence theory and nonlinear interactions in rotating stratified fluids, covering wave kinetic equations and energy cascade processes in oceanic and atmospheric systems.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

On Anomalous Diffusion - Lecture 1

Explore anomalous diffusion in turbulent scalar transport through incompressible vector fields and fractal homogenization techniques in this advanced mathematical physics lecture.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

On Anomalous Diffusion - Lecture 1

Explore anomalous diffusion in turbulent scalar transport through incompressible vector fields and fractal homogenization techniques across multiple length scales.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

On Anomalous Diffusion - Lecture 2

Explore advanced mathematical frameworks for understanding anomalous diffusion in turbulent scalar fields through fractal homogenization techniques.

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

Automorphism Groups of Algebraic Curves in Positive Characteristic

Explore automorphism groups of algebraic curves in positive characteristic, examining their relationship with genus and p-rank invariants through classical bounds and open problems.

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

Le Fabuleux Destin d'Elizebeth Smith Friedman

Découvrez le destin extraordinaire d'Elizebeth Smith Friedman, pionnière de la cryptographie, à travers cette conférence captivante de 38 minutes.

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

Generic Positivity of the Beilinson-Bloch Height

Explore the generic positivity of Beilinson-Bloch height for Gross-Schoen and Ceresa cycles, proving non-negative heights for generic curves over number fields.

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

Some New Cases of Zilber-Pink in Y(1)³

Explore advanced cases of the Zilber-Pink conjecture for Y(1)³, including boundary modular curves and supersingular reduction points using the G-function method.

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

Uniformity in the Dynamical Bogomolov Problem

Explore uniform versions of the dynamical Bogomolov conjecture, connecting polarized endomorphisms and preperiodic subvarieties in algebraic geometry.

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

The Arithmetic of Power Series - Lecture 1

Explore advanced techniques for proving irrationality of periods using rational approximations and arithmetic holonomy theorems in this mathematical lecture.

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

Balanced Fibonacci Word Rectangles

Explore the mathematical properties of balanced Fibonacci word rectangles using Hankel matrices and Walnut software to characterize their distribution patterns.

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

The Arithmetic of Power Series - Lecture 2

Explore advanced Diophantine approximation through Thue hypergeometric Pade methods, multivalent holonomy bounds, and algebraic Apery limits with explicit proofs and S-unit equation applications.

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

Manifold Classification from the Descriptive Viewpoint

Explore manifold classification problems using descriptive set theory, examining Borel complexity for fundamental manifold classes and discrete subgroups of Lie groups.

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