Homeomorphism Courses and Certifications

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Weak Limit of Homeomorphisms in W1,n-1: Invertibility and Lower Semicontinuity

Explore weak limits of homeomorphisms, examining invertibility and lower semicontinuity in W1,n-1 spaces through variational and geometrical methods.

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

Insights into Mathematics

Homeomorphism and the Group Structure on a Circle - Algebraic Topology 2 - NJ Wildberger

Explore homeomorphisms, group structures on circles, and projective geometry in this algebraic topology lecture, blending fundamental concepts with novel approaches and historical insights.

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

Simons Semester on Dynamics

Algebraic Structure of Area-Preserving Homeomorphism Groups - Lecture 4

Explore the algebraic structure of area-preserving homeomorphism groups, focusing on Fathi's question and the simplicity conjecture for compact surfaces. Delve into link spectral invariants and Lagrangian Floer homology.

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

Insights into Mathematics

Algebraic Topology

Explore topological spaces, surfaces, knots, and fundamental groups through geometric intuition and algebraic methods in this comprehensive mathematical journey.

• YouTube
• 1 day 5 hours 1 minute
• On-Demand
• Free Video

Surfaces

4 ratings at OpenLearn

Surfaces are a special class of topological spaces that crop up in many places in the world of mathematics. In this free course, you will learn to classify surfaces and will be introduced to such ...

• OpenLearn
• 20 hours
• On-Demand
• Free Certificate

Centre de recherches mathématiques - CRM

Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond

Explore countable subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions. Examine model theory applications.

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

Centre de recherches mathématiques - CRM

Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 1

Explore countable subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions. Gain insights into model theory applications.

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

Centre de recherches mathématiques - CRM

Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 2

Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.

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

Centre de recherches mathématiques - CRM

Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 3

Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.

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

Centre de recherches mathématiques - CRM

Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond - Lecture 4

Explore finitely generated subgroups of homeomorphism groups, focusing on regularity in dimension one and potential generalizations to higher dimensions.

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

Centre de recherches mathématiques - CRM

The Structure of Homeomorphism Groups - Part I

Explore the rich algebraic structure of homeomorphism groups, their relation to manifold topology, and dynamics of group actions on manifolds.

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

Centre de recherches mathématiques - CRM

The Structure of Homeomorphism Groups - Lecture 3

Explore the algebraic and topological structures of homeomorphism groups, their relation to manifold topology, and dynamics of group actions.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Minimality of the Compact-Open Topology on Diffeomorphism and Homeomorphism Groups

Explore minimality of compact-open topology on diffeomorphism groups, its implications for homeomorphism groups, and connections to automatic continuity results.

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

Institute for Advanced Study

From Symplectic Weyl Laws to Homeomorphism Groups and Beyond

Explore how Floer theory and symplectic topology reveal the non-simplicity of area-preserving homeomorphism groups, extending classical invariants to continuous settings.

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

Centre International de Rencontres Mathématiques

Critical Regularity and Subexponential Growth in Homeomorphism Groups of Compact Manifolds

Delve into advanced group theory concepts exploring homeomorphism groups of compact connected manifolds and their elementary equivalence, with applications to Whittaker's theorem and manifold classification.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video