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Subjects
Mathematics
Representation Theory

Free Online

Representation Theory Courses and Certifications

Explore the foundations of representation theory, including symmetry groups, combinatorics, and their applications in quantum field theory and topology. Learn from leading mathematicians on YouTube, with beginner-friendly lectures covering categorical symmetries, automorphic forms, and infinite-dimensional algebras. Ideal for those interested in advanced mathematics and theoretical physics.

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Centre de recherches mathématiques - CRM
Why p-adic Numbers Are Better Than Real for Representation Theory

Explore p-adic numbers and their application in representation theory, focusing on SL(2) group and nilpotent orbits in Lie algebra.
- YouTube
- 58 minutes
- On-Demand
- Free Video
Centre de recherches mathématiques - CRM
Monoidal Triangular Geometry with Applications to Representation Theory

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.
- YouTube
- 45 minutes
- On-Demand
- Free Video
Centre de recherches mathématiques - CRM
4D/2D Duality and Representation Theory in Quantum Field Theory

Explore the 4D/2D duality in superconformal field theory, connecting 4D theories to vertex operator algebras and examining their representation theory and symplectic singularities.
- YouTube
- 52 minutes
- On-Demand
- Free Video
Centre de recherches mathématiques - CRM
Crystal Bases in Statistical Mechanics, Representation Theory and Combinatorics - Part II

Explore crystal base theory applications in symmetric functions and cyclic sieving through combinatorial crystal definitions in statistical mechanics and representation theory.
- YouTube
- 57 minutes
- On-Demand
- Free Video
Centre de recherches mathématiques - CRM
Crystal Bases in Statistical Mechanics, Representation Theory and Combinatorics - Part I

Explore crystal base theory applications in symmetric functions and cyclic sieving through combinatorial definitions, enhancing understanding of statistical mechanics and representation theory.
- YouTube
- 1 hour 2 minutes
- On-Demand
- Free Video
International Centre for Theoretical Sciences
Representation Theory in Infinite-Dimensional Algebras

Explore advanced representation theory concepts in this talk by Deniz Kus, covering algebraic and combinatorial methods in infinite-dimensional Lie algebras and quantum groups.
- YouTube
- 40 minutes
- On-Demand
- Free Video
NCCR SwissMAP
From Representation Theory to Topology: There and Back Again

Explorez les liens fascinants entre la théorie des représentations et la topologie quantique dans cette conférence approfondie.
- YouTube
- 1 hour 5 minutes
- On-Demand
- Free Video
NCCR SwissMAP
Aha and Eha in Quantum Topology Representation Theory

Explore representation theory in quantum topology with A. Negut from MIT, delving into Aha and Eha concepts during this insightful lecture.
- YouTube
- 59 minutes
- On-Demand
- Free Video
NCCR SwissMAP
Representation Theory for Categorical Symmetries in Quantum Field Theory

Explore representation theory for categorical symmetries in quantum field theory, focusing on advanced mathematical concepts and their applications.
- YouTube
- 1 hour 6 minutes
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- Free Video
NCCR SwissMAP
Representation Theory for Categorical Symmetries in Quantum Field Theory

Explore categorical symmetries in quantum field theory, focusing on representation theory and its applications in advanced physics concepts.
- YouTube
- 1 hour 6 minutes
- On-Demand
- Free Video
BunG Seminar
Representation Theory for Finite W-algebras

Delve into advanced representation theory, exploring Whittaker reduction, finite W-algebras, and their connection to Lie algebras through geometric and algebraic perspectives.
- YouTube
- 1 hour 33 minutes
- On-Demand
- Free Video
BunG Seminar
Representation Theory of Affine Lie Algebras - Talk 22

Delve into advanced representation theory of affine Lie algebras, exploring central characters, Harish-Chandra homomorphism, Segal-Sugawara operators, and vertex operator algebras at critical level.
- YouTube
- 1 hour 43 minutes
- On-Demand
- Free Video
Centre International de Rencontres Mathématiques
Frieze Patterns and Representation Theory

Explore connections between frieze patterns and representation theory, from Conway-Coxeter friezes to higher dimensional SLk friezes and their applications to cluster algebras.
- YouTube
- 1 hour 9 minutes
- On-Demand
- Free Video
International Centre for Theoretical Sciences
Correlation Coefficient in Representation Theory

Explore correlation coefficients in representation theory through advanced mathematical analysis and their applications in automorphic forms research.
- YouTube
- 1 hour 3 minutes
- On-Demand
- Free Video
BIMSA
Programs in Representation Theory

Explore advanced mathematical concepts in representation theory through expert analysis of key programs and theoretical frameworks in this specialized mathematical lecture.
- YouTube
- 1 hour 13 minutes
- On-Demand
- Free Video

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