Quantum Topology Courses and Certifications

QuantumTopology

Splitting Numbers and Signatures

Explore number theory and topology with a focus on splitting numbers, linking number bounds, and signature results in this advanced mathematical lecture.

• YouTube
• 55 minutes
• On-Demand
• Free Online Course

QuantumTopology

Re Normalized TQFTs

Explore re-normalized Topological Quantum Field Theories with Nathan Geer, delving into advanced concepts in quantum topology and mathematical physics.

• YouTube
• 55 minutes
• On-Demand
• Free Online Course

QuantumTopology

The Thurston Norm of 3-Manifolds with a 2-Generator Fundamental Group

Explore the Thurston norm in 3-manifolds with 2-generator fundamental groups, delving into advanced concepts in quantum topology and geometric group theory.

• YouTube
• 52 minutes
• On-Demand
• Free Online Course

QuantumTopology

The Kashaev Invariant, Nahm Sums and Modularity

Explore the Kashaev invariant, Nahm sums, and modularity in quantum topology, delving into advanced mathematical concepts and their applications.

• YouTube
• 52 minutes
• On-Demand
• Free Online Course

QuantumTopology

Pachner's 3-3 Relations and Hopf Algebras

Explore Pachner's 3-3 relations and their connections to Hopf algebras in quantum topology, delving into advanced mathematical concepts and their applications.

• YouTube
• 49 minutes
• On-Demand
• Free Online Course

QuantumTopology

Triangular Decomposition of Skein Algebras and Quantum Teichmuuller Spaces

Explore triangular decomposition of skein algebras and quantum Teichmuller spaces in this advanced mathematical lecture by Thang Le, delving into complex topological concepts.

• YouTube
• 55 minutes
• On-Demand
• Free Online Course

QuantumTopology

E. Fominykh - Special Spines with Three 2-Components

Explore special spines with three 2-components in topology, focusing on their unique properties and applications in quantum theory and geometric structures.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Online Course

QuantumTopology

A. Slepcov - Quantum Invariants of Knots and Their Properties

Explore quantum invariants of knots, their properties, and applications in topology. Gain insights into advanced mathematical concepts and their relevance in quantum theory.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Online Course

QuantumTopology

D. Ilyutko - Chord Diagrams

Explore chord diagrams in topology, their applications, and mathematical properties. Gain insights into this powerful tool for visualizing and analyzing complex relationships in data structures.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Online Course

QuantumTopology

Ph. Korablev - Yang-Baxter Operators and Invariants of Links

Explore Yang-Baxter operators and their applications in link invariants, delving into quantum topology concepts and mathematical techniques for analyzing knot structures.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Online Course

QuantumTopology

Simplified Khovanov Rozansky Calculus

Explore simplified Khovanov Rozansky calculus with Andrey Morozov, delving into advanced quantum topology concepts and their applications in mathematical physics.

• YouTube
• 48 minutes
• On-Demand
• Free Online Course

QuantumTopology

On a High Dimensional Generalization of Seifert Fibrations

Explore high-dimensional generalizations of Seifert fibrations, extending classical concepts to modern topological structures and manifolds.

• YouTube
• 41 minutes
• On-Demand
• Free Online Course

QuantumTopology

3 Dimensional HQFTs

Explore 3-dimensional Homotopy Quantum Field Theories with Alexis Virelizier, delving into advanced mathematical concepts and their applications in quantum topology.

• YouTube
• 57 minutes
• On-Demand
• Free Online Course

QuantumTopology

On Complexity of Virtual Manifolds

Explore virtual manifolds' complexity, focusing on theoretical aspects and mathematical implications in quantum topology research.

• YouTube
• 51 minutes
• On-Demand
• Free Online Course

QuantumTopology

Dijkgraaf-Witten Invariants Over Z2 for Twice Orientable Seifert Manifolds

Explore Dijkgraaf-Witten invariants over Z2 for twice orientable Seifert manifolds, delving into advanced concepts in quantum topology and manifold theory.

• YouTube
• 45 minutes
• On-Demand
• Free Online Course