Diffeomorphisms Courses and Certifications

Instituto de Matemática Pura e Aplicada

Mild Dissipative Diffeomorphisms of the Disk with Zero Entropy - Lecture 3

Explore zero entropy surface diffeomorphisms, their dynamics, and bifurcations. Examine volume-contracting systems, renormalization concepts, and extensions to different domains like the annulus.

• YouTube
• 2 hours 2 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Mild Dissipative Diffeomorphisms of the Disk with Zero Entropy - Lecture 2

Explore zero entropy surface diffeomorphisms, their dynamics, and bifurcations. Examine volume-contracting systems, renormalization concepts, and extensions to different domains like the annulus.

• YouTube
• 2 hours 1 minute
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

On the Denseness of Finitude of Sinks in Diffeomorphisms of Large Number of Intervals

Explore denseness of finitude of sinks in diffeomorphisms and transformations of large interval numbers. Gain insights from Carlos Gustavo Moreira's presentation at the International Conference on Dynamical Systems.

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

IMSA

Research Seminar - Arc-Connectedness of the Space of 1-Dimensional Commuting Diffeomorphisms

Explore arc-connectedness in 1D commuting diffeomorphisms with Andrés Navas. Gain insights into group actions, community spaces, and rotational concepts in this advanced mathematics seminar.

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

BIMSA

Pseudo-Isotopy and Diffeomorphisms of 4-Manifolds

Explore recent advancements in pseudo-isotopy theory and its applications to studying diffeomorphisms of 4-manifolds with David Gabai.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 3B

Delve into advanced dynamical systems theory, exploring chain recurrence classes, viral chain properties, flexible periodic points, and filtrating Markov partitions in diffeomorphisms.

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

Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 3a

Delve into advanced concepts of chain recurrence classes, exploring viral chain properties, flexible periodic points, and filtrating Markov partitions in diffeomorphisms and dynamical systems.

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

Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 2B

Delve into chain recurrence classes in diffeomorphisms, exploring Conley's theory, Lyapunov functions, and the properties of periodic points in relation to homoclinic classes through advanced mathematical analysis.

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

Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 2A

Delve into chain recurrence classes in dynamical systems, exploring Conley's theory, Lyapunov functions, and robust non-hyperbolic diffeomorphisms. Learn about aperiodic classes and adding machines in generic systems.

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

Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 1B

Delve into chain recurrence classes in diffeomorphisms, exploring Conley's theory, Lyapunov functions, and robust non-hyperbolic examples leading to aperiodic classes and adding machines in dynamical systems.

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

Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 1A

Delve into chain recurrence classes and Conley's theory of Lyapunov functions in dynamical systems, exploring robust non-hyperbolic diffeomorphisms and their relationship with aperiodic classes and adding machines.

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

Simons Semester on Dynamics

Strong Positive Recurrence for Diffeomorphisms

Explore strong positive recurrence in diffeomorphisms, its implications for entropy-maximizing measures, and its equivalence to Lyapunov exponent continuity. Gain insights into smooth diffeomorphisms on compact surfaces.

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

Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 1

Dive into chain recurrence classes of generic diffeomorphisms, exploring advanced concepts in dynamical systems and topology.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

Stony Brook Mathematics

Conjugate Points and the MC Criterion in Volume-Preserving Diffeomorphisms - Lecture

Explore conjugate points on volume-preserving diffeomorphisms, focusing on the MC criterion and its applications in fluid dynamics and Riemannian geometry.

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

Centre de recherches mathématiques - CRM

Diffeomorphisms of Discs

Explore diffeomorphisms of discs through geometry, topology, and dynamics, connecting to stable homotopy theory and number theory with recent breakthroughs in rational homotopy type.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video