Surface Diffeomorphisms Courses and Certifications

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

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

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

BIMSA

Stochastic Properties of Measures of Maximal Entropy for Smooth Surface Diffeomorphisms

Explore stochastic properties of maximal entropy measures for smooth surface diffeomorphisms in this advanced mathematical analysis by Omri Sarig.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

ICTP Mathematics

Dynamics of Smooth Surface Diffeomorphisms: Strong Positive Recurrence - ICTP 2021

Explore advanced concepts in smooth surface diffeomorphisms, focusing on strong positive recurrence and its implications for dynamical systems theory.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

ICTP Mathematics

Dynamics of Smooth Surface Diffeomorphisms: Entropy Continuity of Exponents - ICTP 2021

Explore entropy continuity and exponents in smooth surface diffeomorphisms with Jerome Buzzi, delving into advanced mathematical concepts and their applications in dynamical systems.

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

ICTP Mathematics

Dynamics of Smooth Surface Diffeomorphisms - Spectral Gap and Stochastic Properties

Explore surface diffeomorphisms, spectral gaps, and stochastic properties in smooth dynamics. Gain insights into symbolic models, entropy continuity, and hyperbolic systems.

• YouTube
• 1 hour 23 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

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

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

Simons Semester on Dynamics

Salvador Zanata (Ime Usp)

Syllabus: Salvador Zanata (Ime Usp)

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

Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents - Lectures 8 and 9

Explore the continuity properties of Lyapunov exponents in two lectures from the Simons Semester on Dynamics. Delve into the control of Lyapunov exponents using entropy for smooth surface diffeomorphisms, based on recent joint works with Sylvain Crovisie…

• YouTube
• 1 hour 38 minutes
• On-Demand
• Free Video

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 - 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