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#Hopf Algebras

Showing: 19 courses
Institut des Hautes Etudes Scientifiques (IHES)

Substitutions in Non-Commutative Multivariate Power Series

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Explore group laws on non-commutative formal power series, their structures, and applications in non-commutative probability theory through a Hopf algebraic approach.
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1 Lesons
46 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Universal K-matrix and Fused K-operators in Quantum Affine Algebras

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Explore universal K-matrices and fused K-operators in quantum algebras. Delve into the construction of transfer matrices and their applications to open spin-chains.
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1 Lesons
25 minutes
On-Demand
Free-Video
IMSA

Prequels and Possible Sequels to Topological Recursion

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Exploration of topological recursion's origins, connections to Hopf algebras, and potential future developments, bridging discrete data and moduli spaces through cubical complexes.
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1 Lesons
1 hour
On-Demand
Free-Video
QuantumTopology

Pachner's 3-3 Relations and Hopf Algebras

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Explore Pachner's 3-3 relations and their connections to Hopf algebras in quantum topology, delving into advanced mathematical concepts and their applications.
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1 Lesons
49 minutes
On-Demand
Free-Video
IMSA

Hopf-Brauer-Severi Varieties

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Explore Hopf Brauer Severi varieties with Professor Ludmil Katzarkov, delving into advanced algebraic geometry concepts and their applications in mathematics.
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1 Lesons
49 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Induced Functors on Drinfeld Centers via Monoidal Adjunctions

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Explore induced functors on Drinfeld centers through monoidal adjunctions, examining their compatibility with braiding and preservation of commutative objects in tensor categories.
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1 Lesons
49 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Introduction to Non-Commutative Geometry - Lecture 3

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Explore advanced concepts in non-commutative geometry, delving into complex mathematical structures and their applications in theoretical physics and quantum mechanics.
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1 Lesons
1 hour 46 minutes
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Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

The Galois Group of the Category of Mixed Hodge-Tate Structures

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Explore the Galois group of mixed Hodge-Tate structures, examining its Hopf algebra structure, derived category models, and applications to period theory in complex and p-adic settings.
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1 Lesons
1 hour 8 minutes
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Free-Video
Banach Center

The Ubiquity of Hopf Algebras

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Explore the pervasive nature of Hopf algebras, from historical context to practical applications in algebra and beyond. Gain insights into their structure and significance.
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18 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Banach Center

C*-Algebras of Classical and Quantum Groupoids - Part II

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Explore advanced concepts in C*-algebras, focusing on classical and quantum groupoids. Delve into theoretical foundations and applications in mathematical physics.
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1 Lesons
2 hours 6 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Monoidal Triangular Geometry with Applications to Representation Theory

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Explorez la géométrie triangulaire monoïdale et ses applications à la théorie des représentations, en mettant l'accent sur les algèbres de Hopf de dimension finie et les catégories tensorielles finies.
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1 Lesons
45 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Cluster Nature of Quantum Groups

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Explore quantum groups through a rigid cluster model, discovering natural Hopf algebra isomorphisms and a cluster canonical basis with unique invariance properties.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

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

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Explore connections between modular tensor categories, quantum groups, and vertex algebras. Delve into the logarithmic Kazhdan–Lusztig conjecture linking quantum groups and vertex algebras.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

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

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Explore modular tensor categories, focusing on nonsemisimple theory. Gain insights into these mathematical structures and their connections to quantum symmetries and algebraic concepts.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Prague Mathematical Physics Seminar

Infinitesimal Braidings and Pre-Cartier Bialgebras

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Explore infinitesimal braidings and pre-Cartier bialgebras in this advanced mathematical physics seminar, delving into complex algebraic structures and their applications.
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1 Lesons
53 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Braided Quantum Field Theory

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Explore braided quantum field theories, their construction using braided homotopy algebras, and their potential to mitigate UV/IR mixing in noncommutative field theories.
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1 Lesons
46 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Mathematical Structures in Generative Linguistics

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Explore mathematical structures in generative linguistics, from formal languages to Hopf algebras and geometric spaces for modeling semantics and syntactic variation across languages.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Banach Center

Compact and Discrete Quantum Groups

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Explore compact and discrete quantum groups, delving into advanced mathematical concepts with expert Piotr M. Sołtan from the University of Warsaw.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Institute for Advanced Study

Hopf Algebras in the Cohomology of A_g

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Delve into advanced mathematical concepts exploring Hopf algebras and their role in cohomology of A_g, examining fundamental relationships in algebraic geometry and combinatorial physics.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video