Homeomorphism Courses and Certifications

Institute for Advanced Study

Using Logic to Investigate Homeomorphism Groups of Manifolds

Delve into the application of logic and descriptive set theory to understand countable groups acting on manifolds, extending beyond classical characterizations of homeomorphism groups.

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

Instituto de Matemática Pura e Aplicada

PL Foliations and the Perfectness of PL Homeomorphism Groups

Explore PL foliations and the perfectness of PL homeomorphism groups in this advanced mathematical lecture from the Geometry in Algebra, Algebra in Geometry workshop.

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

Insights into Mathematics

Introduction to Topology in Mathematics History

Explore topology's historical development, from Euler's polyhedron discoveries to Poincaré's insights. Learn about key concepts like Euler characteristic, Riemann surfaces, and surface classification in this mathematical journey.

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

Insights into Mathematics

Introduction to Algebraic Topology - Algebraic Topology - NJ Wildberger

Explore the foundations of algebraic topology, its historical roots, and key concepts like homeomorphism and fundamental objects. Tackle challenging problems in this dynamic field of mathematics.

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

ICTP Mathematics

Topology

Explore fundamental concepts in topology through comprehensive lectures covering topological spaces, continuity, compactness, and connectedness in this ICTP diploma series.

• YouTube
• 1 day 8 hours 2 minutes
• On-Demand
• Free Video

ICTP Mathematics

Topology - Lecture 2

Explore fundamental concepts of topology, including topological spaces, continuity, and homeomorphisms, with a focus on mathematical rigor and abstract reasoning.

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

Insights into Mathematics

The Ham Sandwich Theorem and the Continuum - Algebraic Topology Lecture 14

Explore the Borsuk-Ulam theorem, Ham Sandwich theorem, and their applications in algebraic topology. Learn how these concepts relate to continuous maps and homeomorphisms in affine spaces.

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

ICTP Mathematics

Topology - Lecture 14

Explore advanced concepts in topology with Bruno Zimmerman, delving into complex mathematical structures and their properties in this comprehensive lecture.

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

Hausdorff Center for Mathematics

Homeomorphisms of Euclidean Space

Explore recent advances in understanding the topological group of homeomorphisms of Euclidean space, including methods and emerging conjectures in geometric topology.

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

IMSA

Danny Ruberman- Diffeomorphism Groups of 4-Manifolds

Exploring unique 4-dimensional phenomena: infinite families of homeomorphic but non-diffeomorphic manifolds, and exotic behavior in diffeomorphism and homeomorphism groups.

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

IMSA

Low Dimensional Topology and Circle-valued Morse Functions

Explore representations in Homeo_+(S^1) and their role in verifying left-orderability of 3-manifold groups, with applications to the L-space conjecture and taut foliations in various topological settings.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Conference Talk

Banach Center

C*-Bundles Containing the Effros-Shen Algebras

Explore C*-bundles containing Effros-Shen algebras, examining homeomorphisms, rational numbers, and continuous fractions in this advanced mathematical lecture.

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

Centre de recherches mathématiques - CRM

Cube Complexes and Finiteness Properties of Block Mapping Class Groups

Explore cube complexes and their application to block mapping class groups, examining finiteness properties and connections to Thompson's groups in surface topology.

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

Centre de recherches mathématiques - CRM

R-Focal Actions of Groups Acting on the Line

Explore R-focal actions of groups on the real line, examining examples and applications to understand group action spaces in homeomorphisms.

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

MUNI Seminar Series

Random Embeddings of Graphs in Surfaces - Lecture

Explore random 2-cell embeddings of graphs in surfaces, from basic concepts to recent developments in Random Topological Graph Theory.

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