Braid Groups Courses and Certifications

Fields Institute

Square-Section Braid Groups

Explore square-section braid groups through advanced algebraic topology concepts and their mathematical applications in this specialized lecture.

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

Institute for Advanced Study

Braided Vector Spaces and Arithmetic Statistics Over Function Fields

Explore braided vector spaces and their applications to arithmetic statistics over function fields, covering Cohen-Lenstra heuristics and Malle's conjecture through braid group cohomology.

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

Centre de recherches mathématiques - CRM

From Braid Groups to Artin Groups - Lecture 1

Explore Artin groups, including braid groups and free groups. Discover algebraic and geometric characterizations, current knowledge, and new approaches to challenging problems in this field.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Stable Homology of Braid Groups with Symplectic Coefficients

Explore stable homology of braid groups with symplectic coefficients in this advanced mathematical lecture by Dan Petersen at CIRM's thematic meeting.

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

Applied Algebraic Topology Network

Right-Angled Artin Subgroups of Graph Braid Groups

Explore right-angled Artin subgroups in graph braid groups, examining recent conjectures and their applications to topological complexity in algebraic topology.

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

BIMSA

On Braid Groups and Beyond

Explore braid groups and their mathematical extensions through advanced algebraic topology and geometric structures in this specialized mathematical seminar.

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

Applied Algebraic Topology Network

Topological Complexity of Pure Graph Braid Groups

Explore topological complexity in graph braid groups, focusing on Farber's conjecture about ordered configuration spaces and its implications for topological robotics.

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

Applied Algebraic Topology Network

The Topological Complexity of Pure Graph Braid Groups Is Stably Maximal

Explore the topological complexity of configuration spaces in graphs, using group theoretic estimates for higher topological complexity instead of traditional cohomology approaches.

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

IMSA

Representations of the Classical, Virtual, and Welded Braid Groups

Explore generalizations of classical braid groups with new crossings and relations, focusing on extended representations in virtual and welded braid groups.

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

QuantumTopology

On Representations of Virtual Braid Group and Groups of Virtual Links

Explore representations of virtual braid groups and virtual link groups, delving into their properties, structures, and connections to quantum topology.

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

Fields Institute

An Invitation to Graph Braid Groups

Explore graph braid groups, from basic concepts to advanced topics like homology and polynomial growth, with insights on various graph types and their properties.

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

Institute for Advanced Study

Quantum Groups Seminar - Introduction to Quantized Enveloping Algebras and Advanced Topics

Explore quantum groups through quantized enveloping algebras, R-matrices, braid group actions, and Kazhdan-Lusztig theory in this comprehensive mathematical seminar series.

• YouTube
• 1 day 5 hours 37 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Topological Complexity Seminar - Applied Algebraic Topology Network

Explore advanced mathematical concepts in topological complexity through expert seminars covering motion planning, manifold theory, and algebraic topology applications.

• YouTube
• 1 day 17 hours 29 minutes
• On-Demand
• Free Video

IMSA

Braids and Line Arrangements - Old and New

Explore the interplay between braid groups, configuration spaces, and hyperplane arrangements, focusing on recent advances in understanding fundamental groups of complex line arrangement complements.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

IMSA

Algebraic Definition of Braids and the Braid Group

Explore the algebraic foundations of braids and the braid group, delving into their mathematical properties and applications in topology and geometry.

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