Diffeomorphisms Courses and Certifications

ICTP Mathematics

Aperiodic Classes of C1-Generic Diffeomorphisms

Explore aperiodic classes in C1-generic diffeomorphisms through advanced mathematical analysis and theoretical frameworks in this specialized mathematics lecture.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Unitary Representations of the Group of Diffeomorphisms of the Circle

Explore advanced mathematical concepts of unitary representations and diffeomorphisms in circle groups through rigorous theoretical analysis and geometric applications.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Central Extensions of the Group of Exact Volume Preserving Diffeomorphisms

Delve into advanced mathematical concepts exploring Roger's conjecture on universal central extensions, focusing on exact divergence-free vector fields and their applications in 3D manifolds.

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

BIMSA

The Novikov Conjecture, Groups of Diffeomorphisms and Hilbert-Hadamard Spaces

Explore the Novikov conjecture through groups of diffeomorphisms and Hilbert-Hadamard spaces in this advanced mathematical presentation by Jianchao Wu.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Claspers, Graspers, and Barbells - Diffeomorphisms of S¹ × S³

Explore how barbells can be obtained from families of dancing circles called graspers, providing quick proofs of existence of infinite subgroups of mapping class groups.

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

Instituto de Matemática Pura e Aplicada

On the Finiteness of Measures of Maximal Entropy for Certain Partially Hyperbolic Diffeomorphisms

Explore finiteness of measures of maximal entropy for partially hyperbolic diffeomorphisms in this advanced dynamical systems lecture from Brazil's premier mathematics institute.

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

Harvard CMSA

Corks for Exotic Diffeomorphisms in 4-Manifolds

Delve into advanced topology concepts exploring exotic smooth structures, cork twists, and diffeomorphisms in 4-manifolds, with applications to contemporary mathematical research.

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

BIMSA

Diffeomorphisms of 4-Manifolds

Explore advanced mathematical concepts in 4-dimensional topology through expert analysis of diffeomorphisms and their properties in manifold theory.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Fields Institute

Diffeomorphisms of Reducible 3-Manifolds

Explore the mathematical structure of diffeomorphisms on reducible 3-manifolds through advanced topological analysis and geometric insights.

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

Institute for Advanced Study

Mean Action of Periodic Orbits of Area-Preserving Annulus Diffeomorphisms - Morgan Weiler

Explore area-preserving annulus diffeomorphisms, focusing on mean action of periodic orbits. Delve into action functions, Colombian variants, and Hutchings theorem in symplectic dynamics.

• YouTube
• 57 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

Partially Hyperbolic Diffeomorphisms - Lecture 9

Explore advanced concepts in dynamical systems, focusing on partially hyperbolic diffeomorphisms and their properties in this in-depth mathematical lecture.

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

International Mathematical Union

Oscar Randal-Williams: Diffeomorphisms of Discs

Explore the mathematical intricacies of diffeomorphisms on discs with Oscar Randal-Williams in this insightful 45-minute lecture from the International Mathematical Union.

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

IMSA

Smooth Closing Lemma for Area-Preserving Diffeomorphisms of Surfaces

Explore the smooth closing lemma for area-preserving diffeomorphisms on surfaces, featuring a proof based on Weyl formula and Seiberg-Witten Floer homology. Joint work with Cristofaro-Gardiner and Prasad.

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