Centre International de Rencontres Mathématiques Courses

Entanglement Detection in Quantum Information Theory: A Random Matrix Theory Approach

Explore entanglement detection in quantum information theory using random matrix theory. Gain insights into advanced mathematical approaches for quantum systems analysis.

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

Interpolation Between Random Matrices and Free Operators, and Applications

Explore interpolation between random matrices and free operators, with applications in quantum information theory and random matrix theory.

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

Strong Convergence for Tensor GUE Random Matrices

Explore strong convergence in tensor GUE random matrices, delving into advanced mathematical concepts and their applications in quantum systems.

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

The Mean-Field Limit of Non-Exchangeable Integrate and Fire Systems

Explore mean-field limits in non-exchangeable integrate and fire systems with Pierre-Emmanuel Jabin. Delve into advanced mathematical concepts and their applications in this specialized conference talk.

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

The Mean-Field Limit of Non-Exchangeable Integrate and Fire Systems - Continued

Explore advanced mathematical concepts in non-exchangeable integrate and fire systems, focusing on mean-field limits and their applications in particle systems and collective behavior.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Steady States and Dynamics of the Aggregation-Diffusion Equation - Lecture 2

Explore steady states and dynamics of aggregation-diffusion equations in this advanced mathematics lecture by Yao Yao, part of a thematic meeting on interacting particle systems.

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

Wasserstein Gradient Flows and Applications to Sampling in Machine Learning - Lecture 2

Explore Wasserstein gradient flows and their applications to sampling in machine learning, focusing on advanced mathematical concepts and techniques.

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

Steady States and Dynamics of the Aggregation-Diffusion Equation - Lecture 1

Explore steady states and dynamics of the aggregation-diffusion equation in this advanced mathematics lecture by Yao Yao at CIRM's thematic meeting on interacting particle systems.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

Wasserstein Gradient Flows and Applications to Sampling in Machine Learning - Lecture 3

Explore Wasserstein gradient flows and their applications to sampling in machine learning with Anna Korba's advanced lecture on this complex mathematical topic.

• YouTube
• 1 hour 25 minutes
• Self-Paced
• Free Video

Wasserstein Gradient Flows and Applications to Sampling in Machine Learning - Lecture 1

Explore Wasserstein gradient flows and their applications to sampling in machine learning through an in-depth lecture by Anna Korba.

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

Project Orange - Parabolic Maximal Regularity and the Kato Square Root Property

Explore parabolic maximal regularity and Kato square root property in advanced mathematical analysis. Gain insights into harmonic analysis techniques for elliptic operators.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

H-Infinity Calculus and Square Functions on Banach Spaces

Explore $H^{\infty}$-calculus and square functions on Banach spaces in this advanced mathematical conference talk, delving into harmonic analysis techniques for elliptic operators.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

R-Sectorial Operators and Maximal Regularity

Explore $\mathscr{R}$-sectorial operators and maximal regularity in this mathematical conference talk, delving into advanced harmonic analysis techniques for elliptic operators.

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

Project Purple: L^p-Extrapolation à la Blunck-Kunstmann

Explorez les techniques d'extrapolation $L^{p}$ selon Blunck-Kunstmann dans le cadre du "Project Purple". Approfondissez vos connaissances en analyse harmonique appliquée aux opérateurs elliptiques.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• Free Video

A Problem of Free Boundary Type for Caloric Measure

Explore a free boundary problem for caloric measure in this advanced mathematical talk by Steve Hofmann, delving into harmonic analysis and partial differential equations.

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