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#Lie Theory

Showing: 37 courses
Institut des Hautes Etudes Scientifiques (IHES)

On the Left Adjoint of mod p Smooth Parabolic Induction

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Delve into advanced mathematical concepts exploring parabolic induction functors, focusing on left adjoint properties and their behavior with algebraic weights in p-adic field extensions.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Generalized Hitchin Systems - New Geometric Structures

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Explore generalized Hitchin systems with Bảo Châu Ngô, delving into new geometric structures and celebrating Hitchin's mathematical legacy in this insightful conference talk.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BunG Seminar

The Local and Global Hitchin Map - Talk 21

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Delve into advanced mathematical concepts exploring Hamiltonian reduction, local and global Hitchin maps, and their applications in BunG framework and Hecke eigensheaf theory.
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1 Lesons
1 hour 53 minutes
On-Demand
Free-Video
Insights into Mathematics

The Pentagon and Numbers Games - A Dualization of the Mutation Game

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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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5 Lesons
23 minutes
On-Demand
Free-Video
IMSA

Frontiers in Mathematics Lecture Series - Research Talk

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Explore Lie theory, groupoids, and algebroids in this advanced mathematics seminar. Discover local integration techniques and their implications for non-integrable Lie algebroids.
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12 Lesons
51 minutes
On-Demand
Free-Video
IMSA

Welded Tangles and a Topological Interpretation of the Kashiwara-Vergne Group

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Explores welded tangles and foams as higher-dimensional knot theory, connecting their automorphisms to the Kashiwara-Vergne group in Lie theory and relating to knot invariants and Baker-Campbell-Hausdorff series.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IMSA

Fundamentals of Lie Groupoids and Algebroids - Lecture Series

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Introducción a la teoría de Lie de grupoides y algebroides, explorando sus definiciones, propiedades y aplicaciones en diversas estructuras geométricas.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
International Mathematical Union

The Formal Model of Semi-Infinite Flag Manifolds

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Explore the formal model of semi-infinite flag manifolds as explicit algebro-geometric objects, examining recent developments in affine Lie algebra representation theory and discussing implications.
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1 Lesons
45 minutes
On-Demand
Free-Video
International Mathematical Union

Evgeny Feigin - PBW Degenerations, Quiver Grassmannians, and Toric Varieties

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Explore connections between Lie theory, quiver Grassmannians, and flag variety degenerations, focusing on PBW filtration in highest weight representations and its impact on degenerate flag varieties.
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1 Lesons
45 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Symmetric Closed Subsets of Real Affine Root Systems and Regular Su - Short Talk by Irfan Habib

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Explores symmetric closed subsets of real affine root systems and their applications in representation theory, focusing on algebraic and combinatorial methods.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Abelianizations of Lie Algebras by Dynkin Combinatorics

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Explore Dynkin combinatorics to understand abelianizations of Lie algebras, delving into advanced algebraic structures and their representations in modern mathematics.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

From Faces of Weyl Polytopes, to Weights and Characters of Highest Weight Modules by Apoorva Khare

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Explore connections between Weyl polytopes, weights, and characters in highest weight modules. Gain insights into algebraic and combinatorial methods in representation theory.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Mystery and Magic of Component Tableaux by Anthony Joseph

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Explore the intricacies of component tableaux in representation theory, uncovering their mysterious properties and magical applications in algebraic structures.
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1 Lesons
58 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Composition Tableau and Construction of the Canonical Weierstrass Section

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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.
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1 Lesons
1 hour
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Existence Problem of Compact Quotients of Pseudo-Riemannian Homogeneous Spaces

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Explore the existence of compact quotients in pseudo-Riemannian homogeneous spaces, delving into advanced geometric concepts and their applications in mathematical physics and topology.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Fields Institute

On the Mukai Conjecture and the Kostant Game

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Explore the Mukai conjecture and Kostant game in algebraic geometry, delving into their connections and implications for Hamiltonian geometry.
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1 Lesons
42 minutes
On-Demand
Free-Video
Fields Institute

Homology of the Real Toric Varieties Associated with the Weyl Group of Types E7 and E8

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Explore the homology of real toric varieties linked to E_7 and E_8 Weyl groups in this advanced mathematical talk by Seonghyeon Yu from Ajou University.
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1 Lesons
17 minutes
On-Demand
Free-Video
Fields Institute

Torus Orbit Closures in Flag Varieties

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Explore torus orbit closures in flag varieties with Eunjeong Lee, delving into advanced mathematical concepts and their applications in toric topology and geometry.
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1 Lesons
43 minutes
On-Demand
Free-Video
Fields Institute

Homotopy Types of Toric Orbifolds from Weyl Polytopes

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Explore homotopy types of toric orbifolds derived from Weyl polytopes in this advanced mathematical talk, delving into complex geometric structures and their topological properties.
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1 Lesons
29 minutes
On-Demand
Free-Video
Fields Institute

The tt*-Toda Equations and Symplectic Groupoids

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Explore tt*-Toda equations and symplectic groupoids in this advanced mathematics talk by Nan-Kuo Ho, delving into toric topology and geometry concepts.
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1 Lesons
44 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Unipotent Character Sheaves and Strata of a Reductive Group

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Explore unipotent character sheaves and strata of reductive groups with George Lusztig, delving into advanced mathematical concepts and their applications.
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1 Lesons
49 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

Cluster Algebras for General Braid Varieties

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Explore cluster algebras on braid varieties using weaves, Lusztig cycles, and symplectic topology. Gain insights into localization processes and A=U proof through Lie-theoretic and combinatorial perspectives.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Higher Lie Theory in Positive Characteristic

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Explore advanced concepts in Higher Lie theory for positive characteristic fields, delving into algebraic and geometric perspectives of this mathematical domain.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

Cluster Algebras and Representation Theory - Rothschild Lecture

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Explore cluster algebras' definition, impact on representation theory, and ongoing research. Gain insights into this influential mathematical concept and its wide-ranging applications.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Fields Institute

Parabolic Multiplicative Affine Springer Fibers

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Explore parabolic multiplicative affine Springer fibers in algebraic geometry, examining their properties and applications in advanced mathematical research.
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1 Lesons
1 hour 56 minutes
On-Demand
Free-Video
Conference GSI

Riemannian Geometry of Gibbs Cones Associated to Nilpotent Orbits of Simple Lie Groups

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Explore Riemannian geometry of Gibbs cones linked to nilpotent orbits in simple Lie groups, delving into advanced mathematical concepts and their applications.
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1 Lesons
21 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Graded Lie Algebras and Families of Algebraic Curves

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Explore graded Lie algebras and their connection to algebraic curve families. Gain insights into natural questions, philosophy, and Thorne's construction in this mathematical symposium talk.
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10 Lesons
51 minutes
On-Demand
Free-Video
NCCR SwissMAP

Various Incarnations of the Affine Hecke Category

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Explorez les différentes incarnations de la catégorie de Hecke affine dans le cadre de la théorie des représentations quantiques.
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1 Lesons
46 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Global Lie Theory: Wild Riemann Surfaces and Their Character Varieties

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Explore the evolution of topological symplectic structures, wild Riemann surfaces, and character varieties in global Lie theory. Discover connections to quantum groups, hyperkähler geometry, and integrable systems.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Graph Complex Action on Poisson Structures: From Theory to Computation

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Explore graph complex action on Poisson structures, from theoretical foundations to computational applications using SageMath's gcaops package for advanced mathematical research.
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1 Lesons
49 minutes
On-Demand
Free-Video
International Mathematical Union

Peng Shan- On Geometrical Realization of Centers

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Explore connections between algebra centers and geometric cohomology, focusing on quantum groups and affine Springer fibers in Lie theory.
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19 Lesons
42 minutes
On-Demand
Free-Video
Fields Institute

Manin Pairs and Moment Maps Revisited

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Explore advanced concepts in Hamiltonian geometry, focusing on Manin pairs and moment maps, with insights from University of Toronto's Eckhard Meinrenken.
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1 Lesons
52 minutes
On-Demand
Free-Video
NCCR SwissMAP

The Center of the Small Quantum Group and Affine Springer Fibers

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Explore representation theory through quantum groups and affine Springer fibers, focusing on the center of small quantum groups.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Prague Mathematical Physics Seminar

Flows on Graded Manifolds - Part II

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Explore advanced concepts of flows on graded manifolds, delving into complex mathematical physics topics with expert Jan Vysoký.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Prague Mathematical Physics Seminar

Flows on Graded Manifolds - Part I

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Explore graded manifolds and their flows, delving into advanced mathematical concepts with expert guidance from Jan Vysoký.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
BunG Seminar

Introduction to Vertex Algebras - From Heisenberg to Virasoro Algebras

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Delve into vertex algebras, exploring Heisenberg, Kac-Moody, and Virasoro structures while understanding their connections to affine W-algebras and Zhu algebra fundamentals.
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1 Lesons
1 hour 44 minutes
On-Demand
Free-Video
Georgia Tech Research

In Search of Invariance in Brains and Machines

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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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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video