Big Ideas In Dynamics Courses

Sharkovsky Ordering on the Mandelbrot Set

Explore Sharkovsky ordering's application to the Mandelbrot set, uncovering fascinating connections between discrete dynamics and complex analysis.

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

Thurston's Asymmetric Metric on Teichmüller Space Revisited

Explore Thurston's asymmetric metric on Teichmüller space and its generalizations to higher-rank Lie groups, examining geometric and dynamical invariants of hyperbolic structures.

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

Knot Invariants and Hyperbolic Flows

Explore knot invariants and hyperbolic flows in this advanced mathematics talk by Northwestern researcher Solly Coles.

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

Divisible Convex Sets and β-Uniform Convexity

Explore divisible convex sets and β-uniform convexity in this dynamic geometry talk by Amelia Pompilio, delving into advanced mathematical concepts.

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

Bowditch Representations and Dynamics on Character Varieties - Part 1

Explore Bowditch representations and their dynamic impact on character varieties in geometry, presented by Sara Maloni from UVA.

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

Strict Ergodicity and Transformation of the Torus

Explore strict ergodicity and torus transformations in advanced mathematics, focusing on dynamic geometry concepts and their applications.

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

Infinite Patterns in Sets of Positive Density

Explore infinite patterns in sets of positive density, uncovering key concepts and applications in mathematical dynamics.

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

Specification and Measures of Maximal Entropy

Explore maximal entropy measures and specification in dynamical systems, focusing on key concepts and their applications in ergodic theory.

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

Pathological Foliations in Dynamics

Explore pathological foliations in dynamical systems, uncovering their intriguing properties and implications for mathematical research.

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

Flexibility Ideas for Geodesic Flow

Explore innovative concepts in geodesic flow flexibility, uncovering dynamic approaches and mathematical insights for advanced understanding.

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

Random Walks on Weakly Hyperbolic Groups

Explore random walks on weakly hyperbolic groups, delving into advanced mathematical concepts and their applications in dynamics and group theory.

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

Thermodynamic Formalism and Conformal Iterated Function Systems

Explore advanced concepts in dynamical systems, focusing on thermodynamic formalism and conformal iterated function systems.

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

Length Functions on Currents

Explore length functions on currents, delving into advanced concepts in dynamics and geometric measure theory.

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

Anosov Flows on 3-Manifolds

Explore Anosov flows on 3-manifolds, delving into advanced concepts in dynamical systems and topology presented by Katie Mann.

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

Finding a Non-Absolutely Continuous Center Foliation

Explore non-absolutely continuous center foliations in dynamical systems, focusing on pathological cases and their implications for mathematical analysis.

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