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The Series Finale of Online Education: Coursera Acquires Udemy

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BIMSA
Categorification of Quantum Groups via Fukaya Categories

Explore advanced mathematical connections between quantum groups and Fukaya categories in this specialized algebraic topology presentation.
- YouTube
- 1 hour 6 minutes
- On-Demand
- Free Video
M-Seminar, Kansas State University
Cluster Nature of Quantum Groups

Explore quantum groups through a rigid cluster model, discovering natural Hopf algebra isomorphisms and a cluster canonical basis with unique invariance properties.
- YouTube
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Institut des Hautes Etudes Scientifiques (IHES)
Reflection Equation Algebras vs Quantum Groups in Combinatorics and Mathematical Physics

Explore the comparative analysis of Reflection Equation Algebras and Quantum Groups, focusing on their applications in Combinatorics and Mathematical Physics, including the Quantum Capelli identity.
- YouTube
- 50 minutes
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BIMSA
Twisting Compact Quantum Groups

Delve into the theory of C*-algebraic quantum groups, exploring non-commutative torsion, cocycle twisting, and connections to the quantum Baum-Connes conjecture with Professor Ryszard Nest.
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BIMSA
Frucht's Theorem for Finite Quantum Groups

Explore Frucht's theorem for finite quantum groups, examining how every finite quantum group can be realized as the quantum automorphism group of a finite quantum graph, with special focus on quantum Cayley graphs.
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- 1 hour 5 minutes
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Institute for Advanced Study
Introduction to Quantized Enveloping Algebras - Leonardo Maltoni

Explore quantized enveloping algebras, their structure, and applications in quantum groups. Learn about Gaussian binomial coefficients, q-deformations, and Hopf algebra structures.
- YouTube
- 1 hour 48 minutes
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International Mathematical Union
Peng Shan- On Geometrical Realization of Centers

Explore connections between algebra centers and geometric cohomology, focusing on quantum groups and affine Springer fibers in Lie theory.
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Banach Center
A Lévy-Khintchine Formula for SUq(N)

Explore the Lévy-Khintchine formula for SUq(N) in quantum mathematics, delving into advanced concepts and their applications in mathematical physics.
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BIMSA
Equivariant K-theory Realization of the Affine i-Quantum Group

Explore equivariant K-theory's role in realizing affine i-quantum groups, focusing on type C generalizations and constructing simple/standard modules.
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Centre de recherches mathématiques - CRM
Fermionic Forms in Logarithmic Vertex Operator Algebras and BPS Quivers

Explore connections between quantum groups, vertex algebras, and quiver representations. Uncover new insights into fermionic forms and their applications in representation theory and enumerative geometry.
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Centre de recherches mathématiques - CRM
Braided Fusion Categories - Lecture 5: Witt Equivalence and Categorical Witt Group

Explore advanced concepts in braided fusion categories, including gauging, Picard groups, Witt equivalence, and categorical Witt groups. Suitable for graduate-level mathematics students.
- YouTube
- 50 minutes
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Centre de recherches mathématiques - CRM
Braided Fusion Categories - Lecture 4

Explore algebraic theory of semisimple braided tensor categories, covering properties, examples, centralizers, equivariantizations, gauging, and Witt equivalence. Suitable for graduate students.
- YouTube
- 50 minutes
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Centre de recherches mathématiques - CRM
Braided Fusion Categories - Lecture 2

Explore algebraic theory of semisimple braided tensor categories, covering structure, classification, and applications in quantum symmetries and topological quantum field theories.
- YouTube
- 53 minutes
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Centre de recherches mathématiques - CRM
Braided Fusion Categories - Lecture 1

Explore semisimple braided tensor categories, their structure, and classification. Learn about centralizers, non-degeneracy, equivariantizations, gauging, and Witt equivalence in fusion categories.
- YouTube
- 57 minutes
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Institut des Hautes Etudes Scientifiques (IHES)
Categorified Crystal Bases on Localized Quantum Coordinate Rings

Explore categorified crystal bases on localized quantum coordinate rings, focusing on monoidal categories, quiver Hecke algebras, and crystal structures in quantum algebra.
- YouTube
- 45 minutes
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