Centre International de Rencontres Mathématiques Courses

Intersection Theory and Heights - A Birational Perspective

Delve into advanced mathematical concepts of intersection theory and heights through a birational lens, exploring Arakelov geometry and its connections to pluripotential theory and b-divisors.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Geometry and Algebra of Preperiodic Points in PN - Lecture 3

Delve into advanced mathematical concepts exploring preperiodic points in PN, focusing on dynamical stability and moduli spaces through the lens of the Relative Manin-Mumford theorem.

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

Geometry and Algebra of Preperiodic Points in PN - Lecture 2

Delve into advanced mathematical concepts exploring preperiodic points in PN, focusing on dynamical systems, geometric classifications, and the Dynamical Manin-Mumford Conjecture.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Geometry and Algebra of Preperiodic Points in PN - Lecture 1

Delve into advanced mathematical concepts exploring the Dynamical Manin-Mumford Conjecture and its implications for preperiodic points in projective spaces through expert analysis.

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

The Group of Tame Automorphisms - Lecture 3

Delve into advanced mathematical concepts exploring polynomial automorphisms, focusing on tame automorphisms of affine spaces and their group properties through metric space actions.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Free Video

The Group of Tame Automorphisms - Lecture 2

Delve into polynomial automorphisms and tame automorphisms of affine spaces, exploring group properties, Tits alternative, and dynamical degrees through metric space actions.

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

The Group of Tame Automorphisms - Lecture 1

Delve into polynomial automorphisms and tame automorphisms of affine spaces, exploring group properties, Tits alternative, and dynamical degrees through metric space actions.

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

Degeneration of Rational Maps and Hyperbolic Components - Lecture 2

Delve into advanced mathematical concepts exploring rational map degeneration, hyperbolic components, and geometric tools for analyzing sequences and holomorphic families in dynamic systems.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Degeneration of Rational Maps and Hyperbolic Components - Lecture 3

Delve into advanced mathematical concepts exploring rational map degeneration, hyperbolic components, and geometric tools for analyzing sequences and holomorphic families in dynamic systems.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Free Video

Degeneration of Rational Maps and Hyperbolic Components - Lecture 1

Delve into the geometric and arithmetic analysis of rational map degeneration, exploring hyperbolic components, length spectrum, and the behavior of sequences in complex dynamics.

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

Complexity Theory in Arithmetic Dynamical Systems - Lecture 3

Delve into complexity theory's application in arithmetic dynamics, exploring dynamical degrees, entropy concepts, and their role in understanding orbits and periodic points in mathematical systems.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Complexity Theory in Arithmetic Dynamical Systems - Lecture 2

Delve into complexity theory's application in arithmetic dynamics, exploring dynamical degrees, entropy concepts, and their role in understanding orbits and periodic points in mathematical systems.

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

Complexity Theory in Arithmetic Dynamical Systems - Lecture 1

Delve into complexity theory's application in arithmetic dynamics, exploring dynamical degrees, entropy concepts, and their role in understanding orbits and periodic points in mathematical systems.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Free Video

Diffusion Asymptotic of a Kinetic Model for Gas-Particle Mixture with Energy Exchange

Delve into a non-isothermal kinetic model for gas-particle interactions, exploring diffuse reflection mechanisms, conservation of energy, entropy expression, and formal diffusive asymptotics for a Maxwell-Stefan model.

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

Homogenization of Stokes-Brinkman Type Models and Mean Field Limit - Lecture 2

Delve into the mathematical analysis of fluid-kinetic models for suspensions, focusing on homogenization techniques for Stokes-Brinkman equations and mean field limits in particle-fluid interactions.

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