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Lie Theory

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International Centre for Theoretical Sciences
The Composition Tableau and Construction of the Canonical Weierstrass Section

Explore the composition tableau and canonical Weierstrass section construction in this advanced algebraic geometry lecture by Yasmine Fittouhi, part of a broader program on representation theory.
- YouTube
- 1 hour
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Fields Institute
Correspondence between Poisson-Lie Groups and Lie Bialgebras - Manin Triples and Drinfeld Double - Lecture 23

Delve into advanced mathematical concepts exploring Poisson-Lie groups, Lie bialgebras, Manin triples, and the Drinfeld double, building fundamental understanding of quantum group theory.
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- 1 hour 18 minutes
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Banach-Lie Groupoids in Infinite-dimensional Geometry - Part 2

Delve into advanced mathematical concepts of Banach-Lie groupoids, exploring theoretical frameworks and applications in infinite-dimensional geometry.
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- 39 minutes
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Banach-Lie Groupoids in Infinite-dimensional Geometry - Part 1

Dive into the mathematical foundations of Banach-Lie groupoids, exploring their theoretical framework and applications in infinite-dimensional geometry.
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Prague Mathematical Physics Seminar
Graded Lie Groups with Examples

Explore graded Lie groups through examples with Jan Vysoký in this mathematical physics seminar.
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Banach-Lie Groupoids - Part 3

Delve into advanced mathematical concepts of Banach-Lie groupoids, exploring theoretical frameworks and applications in infinite-dimensional geometry through expert analysis.
- YouTube
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Banach Poisson-Lie Groups

Explore advanced mathematical concepts of Banach Poisson-Lie groups through expert analysis and theoretical frameworks in infinite-dimensional geometry.
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Fields Institute
Differentiating Higher Lie Groupoids and Generalized van Est Theory

Explore the mathematical concepts of higher Lie groupoids and generalized van Est theory in this advanced lecture by Alejandro Cabrera from Universidade Federal do Rio de Janeiro.
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Institute for Advanced Study
Lie Algebras and Homotopy Theory - Jacob Lurie

Explore connections between Lie algebras and homotopy theory, covering fundamental groups, Whitehead brackets, and Quillen's theorem in this advanced mathematics seminar.
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Hausdorff Center for Mathematics
Representation Theory for Groups of Lie Type I

Explore representation theory for finite groups of Lie type, covering structural properties, Harish-Chandra theory, and Deligne-Lusztig theory for classifying irreducible complex representations.
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Equivariant Local Index Theory for Lie Groupoids

Explore equivariant local index theory for Lie groupoids, covering motivation, key concepts, and advanced mathematical techniques in noncommutative geometry.
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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.
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Fields Institute
Associated Lie Algebras of Right-Angled Coxeter Groups and Homotopy Theory

Explore the connection between associated Lie algebras of right-angled Coxeter groups and their applications in homotopy theory through advanced mathematical analysis.
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The Pentagon and Numbers Games - A Dualization of the Mutation Game

Explore the duality between the Pentagon Game and Numbers Game, examining their connections to graph dynamics and mathematical structures like ADE graphs and weight lattices.
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Georgia Tech Research
In Search of Invariance in Brains and Machines

Explore mathematical frameworks for robust AI perception, focusing on Lie theory to model hierarchical structures and transformations in real-world object recognition.
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