Centre de recherches mathématiques - CRM Courses

Generalized Torsion Elements as Generalizations of Torsion Elements

Explore generalized torsion elements in group theory, their impact on bi-orderability, and connections to the Alexander polynomial. Gain insights into advanced mathematical concepts.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

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
• Self-Paced
• Free Video

Spaces of Actions on the Line

Explore finitely generated group actions on the line, examining compact laminations and Deroin spaces through examples and collaborative research insights.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

Orderability and Mapping Class Groups in Surface Topology

Explore rigidity in circular orderings of mapping class groups, obstruction spectra, and translation numbers in relation to fractional Dehn twist coefficients for compact surfaces.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Les premiers résultats du télescope spatial James Webb

Découvrez les premières observations révolutionnaires du télescope James Webb et leurs implications pour notre compréhension de l'Univers avec l'astrophysicien René Doyon.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Spaces of Orderings and Applications - Lecture 4

Explore the topology of orderable group spaces, their properties, and connections to group algebra. Discuss open questions in this mathematical field.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

Spaces of Orderings and Applications - Lecture 3

Explore the topology of orderable group spaces, their properties, and connections to group algebra. Discuss open questions in this mathematical field.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Introduction to Circular Orderings - Lecture 2

Explore algebraic and combinatorial aspects of circularly-orderable groups, focusing on cohomology, central extensions, and obstruction spectra. Gain insights through exercises and open problems.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Introduction to Circular Orderings - Lecture 3

Explore algebraic and combinatorial aspects of circularly-orderable groups, focusing on cohomology, left-ordered central extensions, and obstruction spectra. Gain insights through exercises and open problems.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Spaces of Orderings and Applications - Lecture 1

Explore the topology of orderable group spaces, their properties, and connections to group algebra. Discuss open questions in this mathematical field.

• YouTube
• 56 minutes
• Self-Paced
• Free Video

Introduction to Order Structures in Groups - Lecture 4

Explore order structures in groups, covering total orders, algebraic structures, and essential tools. Gain insights into open problems and active research areas in the field.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Introduction to Circular Orderings - Lecture 1

Explore algebraic and combinatorial aspects of circularly-orderable groups, covering definitions, group operations, cohomology, and obstruction spectra. Gain insights through exercises and open problems.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Introduction to Circular Orderings - Lecture 4

Explore algebraic and combinatorial aspects of circularly-orderable groups, focusing on cohomology, left-ordered central extensions, and obstruction spectra. Gain insights through exercises and open problems.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

Introduction to Order Structures in Groups - Lecture 2

Explore various total orders on groups, their relationships with algebraic structures, and essential tools like dynamical realization and the Burns-Hale theorem.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Introduction to Order Structures in Groups - Lecture 1

Explore various types of total orders on groups, their relationships with algebraic structures, and essential tools like dynamical realization and the Burns-Hale theorem.

• YouTube
• 1 hour
• Self-Paced
• Free Video