Surface Diffeomorphisms Courses and Certifications

Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents - Lecture 5

Explore the control of Lyapunov exponents using entropy in smooth surface diffeomorphisms. Gain insights into recent research on expansion of smooth unstable curves and their relation to homoclinic tangencies.

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

Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents - Lecture 7

Explore the control of Lyapunov exponents using entropy in smooth surface diffeomorphisms. Gain insights into recent research on expansion of smooth unstable curves and their relation to homoclinic tangencies.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents for Smooth Surface Diffeomorphisms - Lectures 1 and 2

Explore continuity properties of Lyapunov exponents in smooth surface diffeomorphisms. Gain insights into entropy control and its relation to expansion of smooth unstable curves and homoclinic tangencies.

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

Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents - Lectures 3 and 4

Delve into the continuity properties of Lyapunov exponents in smooth surface diffeomorphisms, exploring entropy control and the impact of near homoclinic tangencies on unstable curve expansion.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

Simons Semester on Dynamics

Models for Dynamical Systems in Dimensions 1 and 2 - Lecture 1

Explore dynamical systems in 1D and 2D, focusing on Milnor-Thurston's theorem and its potential 2D analog for surface diffeomorphisms. Delve into connections with Teichmüller Theory and 3-manifold topology.

• YouTube
• 1 hour 40 minutes
• On-Demand
• Free Video

Simons Semester on Dynamics

Models for Dynamical Systems in Dimensions 1 and 2 - Lecture 3

Explore dynamical systems in 1D and 2D, focusing on Milnor-Thurston's theorem and its potential 2D analogue for surface diffeomorphisms. Delve into connections with Teichmüller Theory and 3-manifold topology.

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

Simons Semester on Dynamics

Models for Dynamical Systems in Dimensions 1 and 2 - Lecture 2

Explore models for dynamical systems in 1D and 2D, focusing on Milnor-Thurston's theorem and its potential 2D analogue for surface diffeomorphisms.

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

Instituto de Matemática Pura e Aplicada

Existence of Physical Measures for Smooth Surface Diffeomorphisms

Explore physical measures for smooth surface diffeomorphisms in dynamical systems. Gain insights from expert Sylvain Crovisier at this international mathematics conference celebrating Marcelo Viana's 60th birthday.

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

Centre de recherches mathématiques - CRM

Volume Conjecture for Surface Diffeomorphisms

Explore quantum invariants for surface diffeomorphisms and their connection to mapping torus volume. Examine representation theory, numerical evidence, and a proof for the figure-eight knot complement case.

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

IMSA

Low Dimensional Topology and Circle-valued Morse Functions

Explore singular fibrations in knot exteriors and their extensions over handlebodies, connecting handle-ribbon knots to circular Morse functions in low-dimensional topology.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Conference Talk

ICTP Mathematics

Young Towers for Geodesic Flows on Certain Non-Positively Curved Surfaces - ICTP 2021

Explore Young towers for geodesic flows on non-positively curved surfaces with Yakov Pesin. Gain insights into Sinai-Ruelle-Bowen measures and their applications in surface diffeomorphisms.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Dynamics of Smooth Chaotic Surface Diffeomorphisms - 34th CBM Plenary Lecture

Explore a palestra sobre dinâmica de difeomorfismos caóticos suaves em superfícies, apresentada por Omri Sarig no 34º Colóquio Brasileiro de Matemática.

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