Centre International de Rencontres Mathématiques Courses

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

Birational Geometry of Moduli Spaces of Curves - Lecture 3

Delve into advanced concepts of birational geometry, exploring Grothendieck-Knudsen moduli spaces, effective divisor cones, and their connection to elliptic curves and toric surfaces in algebraic geometry.

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

Projective Duality of Kummer Fourfolds and Their Equations

Delve into advanced algebraic geometry through an exploration of Kummer fourfolds, their projective duality, and theta group theory applications in deriving equations and understanding moduli spaces.

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

Birational Geometry of Moduli Spaces of Curves - Lecture 1

Delve into advanced concepts of birational geometry, exploring Grothendieck-Knudsen moduli spaces, stable rational curves, and their relationship with elliptic pairs and Lang-Trotter polygons in algebraic geometry.

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

Birational Geometry of Moduli Spaces of Curves - Lecture 2

Delve into advanced concepts of birational geometry, exploring Grothendieck-Knudsen moduli spaces, effective divisor cones, and their connection to elliptic curves and toric surfaces in algebraic geometry.

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

Moduli Spaces of Branched Projective Structures

Delve into complex projective structures and their branched generalizations, exploring moduli spaces, PSL(2,C)-opers, and their role in Riemann surface uniformization theory through advanced mathematical analysis.

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