Centre International de Rencontres Mathématiques Courses

Towards Data-Driven High Fidelity CFD - Lecture 2

Explore data-driven approaches for high-fidelity computational fluid dynamics in this advanced lecture on scientific machine learning and CFD techniques.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Number Theory Through Geometry, Dynamics and Illustration - Lecture 1

Explore number theory through geometry and dynamics, focusing on continued fractions, Diophantine approximation, and Apollonian circle packings. Emphasizes visual and experimental tools in mathematical research.

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

Number Theory Through Geometry, Dynamics and Illustration - Lecture 3

Explore number theory through geometry and dynamics, focusing on continued fractions, Diophantine approximation, and Apollonian circle packings. Emphasizes visual and experimental tools in mathematical research.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Number Theory Through Geometry, Dynamics and Illustration - Lecture 2

Explore number theory through geometry and dynamics, focusing on continued fractions, Diophantine approximation, and Apollonian circle packings. Emphasizes visual and experimental tools in mathematical research.

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

Contact Topology and Thermodynamics

Explore contact topology's role in non-equilibrium thermodynamics, covering results and conjectures from collaborative research in this advanced mathematical field.

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

Symplectic Mapping Class Groups: Structural Properties from Smooth to C⁰

Explore structural properties of symplectic mapping class groups, from smooth to C⁰, with an overview of key concepts and open questions in this mathematical field.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

The Spectral Norm, Rigidity and Related Phenomena in Hamiltonian Dynamics

Explore the spectral norm's behavior in Hamiltonian diffeomorphisms, its applications to dynamics, and connections to invariant sets, pseudo-rotations, and rigidity.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Symplectic Capacities of Domains Close to the Ball and Quasi-Invariant Contact

Explore symplectic capacities of domains near balls and quasi-invariant contact forms in this advanced mathematical discussion on symplectic dynamics and Reeb geometry.

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

The Humilière Completion and Its Applications in Symplectic Geometry

Explore the Humilière completion of Lagrangian spaces, its spectral distance study, and applications in conformal dynamics, singular Hamiltonian systems, and sheaf theory.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Some Algebraic Tools in Fractal Geometry

Explore algebraic tools in fractal geometry, focusing on open conjectures, random lattices, and volume estimates. Gain insights into Sato-Bernstein theory and zeta distributions.

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

Monogenic Representation for Self-Similar Random Fields and Color Images

Explore monogenic representation for self-similar random fields and color images, focusing on Gaussian measures, isotropic fields, and practical applications in image analysis.

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

One-sided Multifractal Analysis of Gibbs Measures on the Line

Explore one-sided multifractal analysis of Gibbs measures on the line. Delve into advanced mathematical concepts with De-Jun Feng's in-depth conference talk from the CIRM thematic meeting.

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

Fractional Gaussian and Stable Random Fields on Fractals

Explore fractional Gaussian and stable random fields on fractals, covering key concepts like covariance functions, stochastic integrals, and Laplace operators.

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

Counting S4 and S5 Extensions Satisfying the Hasse Norm Principle

Explore counting techniques for S4 and S5 extensions satisfying the Hasse norm principle in this advanced mathematical lecture by Rachel Newton.

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

Computing Ceresa Classes of Curves

Explore computational methods for Ceresa classes of curves in algebraic geometry, focusing on arithmetic and geometric aspects.

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