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#Coxeter Groups

Showing: 14 courses
Centre de recherches mathématiques - CRM

The Isomorphism Problem for Artin Groups

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Explorez le problème d'isomorphisme pour les groupes d'Artin, en particulier pour les groupes de "grand type". Découvrez les défis, les conjectures et les résultats partiels dans ce domaine mathématique complexe.
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1 Lesons
58 minutes
On-Demand
Free-Video
Institute for Advanced Study

Paths to Matroid Representations

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Delve into advanced matroid theory, exploring representation theorems, connectivity statements, and orthogonal matroids through historical developments and modern algebraic approaches.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Insights into Mathematics

Geometric Graph Theory - Weyl Groups, Root Systems and Quadratic Forms

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Explore geometric graph theory through the Mutation Game, examining root systems, Weyl groups, and quadratic forms. Discover how graphs generate unique geometrical structures and reflection groups.
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11 Lesons
50 minutes
On-Demand
Free-Video
IMSA

Divergence in Coxeter Groups

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Explores divergence in Coxeter groups, introducing the 'hypergraph index' to characterize linear, quadratic, and exponential divergence in these mathematical structures.
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1 Lesons
49 minutes
On-Demand
Free-Video
IMSA

Kazhdan-Lusztig Theory and Singular Hodge Theory for Matroids I

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Explore the fascinating parallel between Coxeter groups and matroids in combinatorial cohomology, featuring recent research on singular Hodge theory for combinatorial geometries.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Kazhdan-Lusztig Theory and Singular Hodge Theory for Matroids II

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Explore the parallel between Coxeter groups and matroids in combinatorial cohomology, with insights on singular Hodge theory for combinatorial geometries from recent collaborative research.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Coxeter Groups are Biautomatic - Lecture 3

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Explore Coxeter groups and their biautomatic properties in this advanced mathematics lecture, part of a comprehensive workshop on geometric group theory.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Coxeter Groups are Biautomatic - Lecture 2

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Explore Coxeter groups' biautomatic properties in this advanced geometric group theory lecture, part of a workshop fostering research collaboration and exposure to active areas in the field.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Coxeter Groups are Biautomatic - Lecture 1

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Explore Coxeter groups and their biautomatic properties in this advanced mathematics lecture, part of a comprehensive workshop on geometric group theory.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Fields Institute

The Lie Algebra Associated with the Lower Central Series of a Right-Angled Coxeter Group

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Explore the Lie algebra's connection to lower central series in right-angled Coxeter groups, delving into advanced mathematical concepts and their implications.
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1 Lesons
29 minutes
On-Demand
Free-Video
Fields Institute

Subgroups of Right-Angled Artin and Coxeter Groups - Remarks and Analysis

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Explore subgroups of right-angled Artin and Coxeter groups with Ian Leary, delving into advanced mathematical concepts and their implications in group theory.
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1 Lesons
47 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Coxeter Groups are Biautomatic - Workshop on Cube Complexes and Combinatorial Geometry

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Explore the biautomaticity of Coxeter groups and its implications for uniform lattices in building isometry groups. Gain insights from recent mathematical research.
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1 Lesons
1 hour
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Fock Spaces Associated with Coxeter Groups of Type B

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Explore Fock spaces related to infinite hyperoctahedral groups, examining two-parameter functions and their positive definiteness in extreme characters. Apply findings to cyclic Fock spaces of type B.
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1 Lesons
49 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Spectral Invariants of Integrable Polygons

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Delve into advanced mathematical concepts exploring integrable polygons, their spectral invariants, and connections to plane tessellation and crystallographic Coxeter groups in higher dimensions.
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1 Lesons
58 minutes
On-Demand
Free-Video