Quantum Groups Courses and Certifications

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

Fields Institute

Crossed Product Equivalence of Quantum Automorphism Groups

Explore quantum automorphism groups and their crossed product equivalence in this advanced mathematics talk by Michael Brannan from the University of Waterloo.

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

IMSA

Floer Theory and Quantum Groups

Explore Floer theory, quantum groups, and gauge theories in 3-manifolds. Discover connections between moduli spaces, Floer invariants, and skein modules in topological quantum field theory.

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

Banach Center

Compact and Discrete Quantum Groups

Explore compact and discrete quantum groups, delving into advanced mathematical concepts with expert Piotr M. Sołtan from the University of Warsaw.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

Banach Center

Modular Invariants of Compact Quantum Groups

Explore modular invariants of compact quantum groups, delving into advanced mathematical concepts and their applications in quantum theory.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Banach Center

Some Quantum Spaces Which Are Not Quantum Groups

Explore non-quantum group quantum spaces, delving into advanced mathematical concepts and their applications in quantum theory.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Belavin-Drinfeld Quantum Groups - Survey and Future Directions

Explore Belavin-Drinfeld quantum groups, their deformations, and connections to semi-simple algebraic Poisson groups. Survey current knowledge, conjectures, and future research directions in this field.

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

Centre de recherches mathématiques - CRM

Modular Tensor Categories, Quantum Groups and Vertex Algebras - Lecture 4

Explore connections between modular tensor categories, quantum groups, and vertex algebras. Delve into the logarithmic Kazhdan–Lusztig conjecture linking quantum groups and vertex algebras.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Modular Tensor Categories, Quantum Groups and Vertex Algebras - Lecture 1

Explore modular tensor categories, focusing on nonsemisimple theory. Gain insights into these mathematical structures and their connections to quantum symmetries and algebraic concepts.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Tracial and G-invariant States on Quantum Groups

Explore tracial and G-invariant states on quantum groups, examining connections between traceability and G-invariance in discrete quantum group C*-algebras.

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

NCCR SwissMAP

Spark Algebras and Quantum Groups

Explore representation theory through spark algebras and quantum groups, focusing on quantum topology concepts.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

BIMSA

Quantum Holomorphic Evaluations and the Universal Property of Complex Semisimple Quantum Groups

Explore quantum holomorphic evaluations and universal properties of complex semisimple quantum groups, focusing on the quantum Lorentz group and its C*-algebraic structure.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

INI Seminar Room 2

From Matrix Product Operator Algebras to Quantum Groups

Delve into the mathematical foundations connecting matrix product operator algebras to quantum groups through an advanced exploration of quantum information theory and mathematical sciences.

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

Harvard CMSA

A Drinfeld Presentation of Affine i-Quantum Groups

Delve into quantum symmetric pairs and i-quantum groups, exploring Drinfeld-type presentations for affine quasi-split i-quantum groups and their relationship to quantum group generalizations.

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

BIMSA

Free Field Representations of Quantum Groups and Q-Deformed W-Algebras Through Cluster Algebras

Explore free field representations of quantum groups and q-deformed W-algebras using cluster algebra techniques in this advanced mathematical physics lecture.

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