Big Ideas In Dynamics Courses

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Pathological Foliations in Dynamics

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

• YouTube
• 51 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Length Functions on Currents

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

• YouTube
• 53 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Pathological Foliations and Negative Central Lyapunov Exponents - Proof of the Lemma

Explore negative central Lyapunov exponents, pathological foliations, and a key lemma proof in dynamical systems theory.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Strict Ergodicity and Transformation of the Torus

Explore strict ergodicity and torus transformations in dynamical systems with insights from a leading mathematician at UW-Madison.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Factoring Gleason Polynomials Modulo 2 - Pre-Talk

Explore factoring Gleason polynomials modulo 2 with postdoc Malavika Mukundan, delving into advanced mathematical concepts in dynamics.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Bowditch Representations and Dynamics on Character Varieties

Explore Bowditch Representations and dynamics on character varieties in this graduate-level mathematics pre-talk, delving into advanced concepts in topology and geometry.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Bowditch Representations and Dynamics on Character Varieties - Part 2

Explore advanced concepts in geometric group theory, focusing on mapping class group actions on character varieties and domains of discontinuity for various surfaces and Lie groups.

• YouTube
• 59 minutes
• On-Demand
• Free Video