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#Geometric Group Theory

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Institut des Hautes Etudes Scientifiques (IHES)

Paires de Hecke et K-théorie

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Explorez les paires de Hecke en théorie des nombres, leur lien avec la géométrie à grande échelle et les applications aux conjectures de Baum-Connes et Novikov. Découvrez les avancées en K-théorie des C*-algèbres de Hecke.
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1 Lesons
45 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

An Introduction to Geometry and Dynamics on Semisimple Lie Groups - Part 2 of 3

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Explore semisimple Lie groups, their structure, discrete subgroups, and asymptotic behavior. Gain insights into algebraic subgroups and limit sets.
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10 Lesons
59 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Dynamics to Geometry in Free-by-Cyclic Groups - Lecture 3

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Explorez les liens entre dynamique, algèbre et géométrie dans les groupes libres-par-cycliques. Découvrez les résultats récents et les problèmes ouverts dans ce domaine inspiré par les travaux de Thurston.
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1 Lesons
50 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Dynamics to Geometry in Free-by-Cyclic Groups - Lecture 2

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Explore dynamics and geometry in free-by-cyclic groups, focusing on automorphisms, semi-direct products, and their interplay with Thurston's work on surface homeomorphisms and 3-manifolds.
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1 Lesons
55 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Dynamics to Geometry in Free-by-Cyclic Groups - Part I

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Explore the interplay between automorphism dynamics, algebraic properties, and coarse geometry in free-by-cyclic groups, drawing inspiration from Thurston's work on surface homeomorphisms and 3-manifolds.
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1 Lesons
48 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Graphs with Convex Balls: Characterization and Applications - Workshop Lecture

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Explorez la caractérisation et les propriétés des graphes à boules convexes, leur lien avec les complexes contractiles et les groupes biautomatiques dans cette présentation mathématique approfondie.
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12 Lesons
55 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Median Spaces and Algebras - Lecture 4

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Explorez les espaces médians et leurs applications en géométrie de groupe, couvrant les espaces L^1, les complexes cubiques CAT(0) et les R-arbres, avec un accent sur les propriétés analytiques des groupes.
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1 Lesons
28 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Median Spaces and Algebras - Part 3

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Explore median spaces as generalizations of L^1 spaces, CAT(0) cube complexes, and R-trees. Discover their applications in geometric group theory and functional analysis.
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1 Lesons
50 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Median Spaces and Algebras - Part I

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Explorez les espaces médians et leurs applications en géométrie de groupe, couvrant les espaces L^1, les complexes cubiques CAT(0) et les R-arbres, avec des implications pour diverses propriétés de groupe.
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1 Lesons
47 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Median Spaces and Algebras - Part II

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Explore median spaces as generalizations of L^1 spaces, CAT(0) cube complexes, and R-trees. Discover their applications in geometric group theory and functional analysis.
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1 Lesons
50 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Helly Graphs and Injective Metric Spaces - Part I

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Explorez les graphes de Helly et les espaces métriques injectifs : définitions, propriétés et exemples. Découvrez leurs caractéristiques non positives et leurs liens avec divers groupes géométriques.
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1 Lesons
46 minutes
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Free-Video
Centre de recherches mathématiques - CRM

On Subgroups of a Hyperbolic Group

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Explore hyperbolic group properties, focusing on non-hereditary nature and finite type subgroups. Examine construction methods using hyperbolic 5-manifolds fibering over the circle.
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1 Lesons
51 minutes
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Free-Video
Centre International de Rencontres Mathématiques

Perfect Kernels and Dynamics: From Bass-Serre Theory to Hyperbolic Groups

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Explore perfect kernels and dynamics in mathematics, from Bass-Serre theory to hyperbolic groups, with insights from Pénélope Azuelos's conference talk at CIRM.
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1 Lesons
46 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Domino Snake Problems on Groups

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Explorez les problèmes de serpents de dominos sur les groupes mathématiques dans cette conférence approfondie de Nathalie Aubrun au CIRM.
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1 Lesons
42 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Automatic Actions in Geometric and Asymptotic Group Theory

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Explore geometric and asymptotic group theory, focusing on automatic actions in mathematics, with insights from Laurent Bartholdi's conference talk.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Space of Actions of Groups on the Real Line

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Explore group actions on the real line, delving into mathematical concepts and theories presented by Bertrand Deroin in this insightful conference talk.
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1 Lesons
1 hour
On-Demand
Free-Video
Applied Algebraic Topology Network

Discrete Homotopy Theory and Applications

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Explore discrete homotopy theory's evolution, applications in topology, geometry, and group theory. Learn simplified approaches to fundamental groups and covering spaces, with insights into various mathematical domains.
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35 Lesons
49 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Shmuel Weinberger - PH(X^Y) and the Geometry of Function Spaces

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Exploring persistent homology in function spaces through geometric considerations, focusing on examples that illuminate this central topic in algebraic topology.
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9 Lesons
53 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

From Trees to Barcodes and Back Again - Combinatorial and Geometric Perspectives

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Explore topological data analysis, focusing on the inverse problem from barcodes to merge trees. Discover connections between barcodes, symmetric groups, and geometric group theory for statistical insights.
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15 Lesons
54 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Vietoris-Rips Thickenings - Problems for Birds and Frogs

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Explore open problems in Vietoris-Rips complexes, connecting diverse mathematical areas. Suitable for both broad theorists and problem-solving specialists in applied algebraic topology.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
IMSA

Subgroups of Right-Angled Coxeter Groups via Stallings-like Techniques

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Exploration of Stallings-like techniques for subgroups of right-angled Coxeter groups, with applications to hyperbolic groups and algorithmic insights in geometric group theory.
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14 Lesons
48 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Symmetric Spaces by Pralay Chatterjee

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Explore symmetric spaces in this advanced lecture on geometry, groups, and dynamics. Delve into modern research aspects and connect with cutting-edge theories in the field.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Urs Lang - Combinatorial Dimension and Higher-Rank Hyperbolicity

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Exploration of (n,δ)-hyperbolicity in metric spaces, its relation to Gromov's δ-hyperbolicity, and applications in geometric group theory and hierarchically hyperbolic groups.
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1 Lesons
57 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Vietoris-Rips Complexes and Geometric Group Theory

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Explore Vietoris-Rips complexes in geometric group theory, focusing on topological finiteness properties, hyperbolic groups, and recent developments in Morse theory and persistent homology.
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1 Lesons
51 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
ICTP Mathematics

Proper Affine Actions of Right Angled Coxeter Groups - J. Danciger

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Explore proper affine actions of right-angled Coxeter groups, delving into their mathematical properties, applications, and implications in geometric group theory and related fields.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
QuantumTopology

The Arc Metric on Teichmuller Space

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Explore the arc metric on Teichmuller space with Athanase Papadopoulos, delving into advanced concepts in geometric topology and complex analysis.
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1 Lesons
53 minutes
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 mathematical concepts and their geometric applications.
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1 Lesons
48 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 11

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Explore the mathematical concept of random walks on groups, delving into their properties, applications, and theoretical foundations in this comprehensive lecture by Giulio Tiozzo.
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1 Lesons
1 hour 51 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 18

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Explore the mathematical concept of random walks on groups, delving into their properties, applications, and theoretical foundations in this comprehensive lecture by Giulio Tiozzo.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 16

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Explore the fascinating world of random walks on groups with Prof. Giulio Tiozzo. Discover key concepts, applications, and mathematical insights in this engaging lecture from the Fields Institute.
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1 Lesons
1 hour 45 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 12

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Explore the mathematical concept of random walks on groups, delving into their properties, applications, and theoretical foundations in this comprehensive lecture by Giulio Tiozzo.
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1 Lesons
1 hour 44 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 10

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Explore random walks on groups, their properties, and applications in mathematics and probability theory. Learn key concepts and techniques from expert Giulio Tiozzo.
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1 Lesons
1 hour 47 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 13

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Explore random walks on groups, a fundamental concept in probability theory and group theory, with insights into their applications and properties.
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1 Lesons
57 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 9

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Explore the mathematical concept of random walks on groups, delving into their properties, applications, and theoretical foundations in this comprehensive lecture by Giulio Tiozzo.
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1 Lesons
1 hour 43 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 19

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Explore random walks on groups, a fundamental concept in probability theory and group theory, with insights into their applications and properties.
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1 Lesons
1 hour
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 5

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Explore the mathematical concept of random walks on groups, delving into their properties, applications, and theoretical foundations in this comprehensive lecture by Giulio Tiozzo.
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1 Lesons
1 hour 44 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 1

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Explore the mathematical concept of random walks on groups, delving into fundamental principles and applications in this comprehensive lecture by Giulio Tiozzo from the University of Toronto.
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1 Lesons
1 hour 47 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 14

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Explore the mathematical concept of random walks on groups, delving into their properties, applications, and theoretical foundations in this comprehensive lecture by Giulio Tiozzo.
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1 Lesons
1 hour 48 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Random Walks on Groups - Lecture 20

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Explore the mathematical concept of random walks on groups, delving into their properties, applications, and theoretical foundations in this comprehensive lecture by Giulio Tiozzo.
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1 Lesons
1 hour 39 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Stationary Measures for Fuchsian Groups and Related Contexts

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Explore stationary measures for Fuchsian groups and related contexts, delving into geometric group theory's recent breakthroughs and connections to diverse mathematical areas.
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1 Lesons
46 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

On the Geometry of Extensions of Free Groups

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Explore geometric group theory's advancements, focusing on free group extensions. Gain insights from experts through minicourses and collaborative research in this intensive workshop.
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1 Lesons
49 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

Growth of Subgroups with Hyperbolicity - Lecture 3

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Explore growth of (sub)groups with hyperbolicity in this advanced mathematics lecture, part of a workshop on geometric group theory featuring eminent researchers and collaborative research opportunities.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Property(T), Median Spaces and CAT(0) Cubical Complexes - Lecture 3

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Explore Property(T), median spaces, and CAT(0) cubical complexes in this advanced geometric group theory lecture by Indira Chatterji, part of a workshop on cutting-edge research topics.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Hyperbolicity - Exploring Negative Curvature in Geometry

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Explore negative curvature and hyperbolicity in everyday objects, from underwater environments to clothing and brain structures, challenging traditional geometry concepts.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

On the Acylindricity of the Outer Automorphism Group of Non-solvable Groups

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Explore acylindricity in outer automorphism groups of non-solvable groups, delving into geometric group theory and its connections to diverse mathematical areas.
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1 Lesons
32 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Drilled Hyperbolic Surface Bundles Over Graphs are CAT(0) Cubulable

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Explore hyperbolic surface bundles over graphs and their CAT(0) cubulable properties in this advanced mathematical talk on geometric group theory and topology.
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1 Lesons
41 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Growth of Subgroups with Hyperbolicity - Lecture 2

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Explore growth of (sub)groups with hyperbolicity in this advanced mathematics lecture, part of a workshop on geometric group theory featuring eminent researchers and collaborative research opportunities.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Automorphisms of Free Groups of Small Rank and Their Outer Conjugacy Classes - Lecture 3

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Explore automorphisms of free groups and outer conjugacy classes in geometric group theory, advancing understanding of group structures and transformations.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Examples of Infinite Groups, Their ℓ2-Homology and Boundaries - Lecture 3

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Explore infinite groups, ℓ2-homology, and boundaries in this advanced mathematics lecture, part of a workshop on geometric group theory for researchers and mathematicians.
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1 Lesons
1 hour 13 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

Property(T), Median Spaces and CAT(0) Cubical Complexes - Lecture 2

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Explore Property(T), median spaces, and CAT(0) cubical complexes in this advanced geometric group theory lecture by Indira Chatterji, part of a workshop on cutting-edge research topics.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Automorphisms of Free Groups of Small Rank and Their Outer Conjugacy Classes - Lecture 2

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Explore automorphisms of free groups and their outer conjugacy classes in this advanced mathematics lecture by François Dahmani, part of a geometric group theory workshop.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Examples of Infinite Groups, their ℓ2-Homology and Boundaries - Lecture 2

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Explore infinite groups, ℓ2-homology, and boundaries in this advanced mathematics lecture, delving into geometric group theory concepts and their applications.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Growth of (Sub)Groups with Hyperbolicity - Lecture 1

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Explore growth patterns in hyperbolic subgroups with expert Inhyeok Choi. Gain insights into geometric group theory and its applications in diverse mathematical fields.
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1 Lesons
1 hour 16 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
International Centre for Theoretical Sciences

Property(T), Median Spaces and CAT(0) Cubical Complexes - Lecture 1

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Explore Property(T), median spaces, and CAT(0) cubical complexes in geometric group theory with expert Indira Chatterji. Gain insights into cutting-edge research and applications in this field.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Automorphisms of Free Groups of Small Rank and Their Outer Conjugacy Classes

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Explore automorphisms of free groups and their outer conjugacy classes in this advanced mathematics lecture, part of a geometric group theory workshop.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Examples of Infinite Groups, their ℓ2-Homology and Boundaries - Lecture 1

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Explore infinite groups, ℓ2-homology, and boundaries with expert Genevieve Walsh in this advanced mathematics lecture, part of a collaborative workshop on geometric group theory.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Anosov Representations and Proper Affine Actions

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Explore Anosov representations and proper affine actions in geometric group theory. Gain insights from expert Sourav Ghosh on this advanced mathematical topic.
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1 Lesons
44 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Distance 4 Curves in the Curve Graph of Closed Surfaces

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Explore distance 4 curves in closed surface curve graphs. Gain insights into geometric group theory and its connections to diverse mathematical areas.
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1 Lesons
31 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

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
Fields Institute

Polyhedral Products, Graph Products and p-Central Series

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Explore connections between polyhedral products, graph products, and p-central series in topology, with insights from Moscow State University's Taras Panov.
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1 Lesons
48 minutes
On-Demand
Free-Video
Fields Institute

Flag Complexes, Polyhedral Products and Geometric Group Theory

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Explore connections between flag complexes, polyhedral products, and geometric group theory in this advanced mathematics lecture by Stephen Theriault from the University of Southampton.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Stationary Random Subgroups and Injectivity Radius of Hyperbolic Manifolds

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Explore probabilistic methods in geometric problems, focusing on injectivity radius in hyperbolic manifolds and stationary actions of groups with large stabilizers.
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1 Lesons
40 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Counting Limit Theorems for Representations of Gromov-Hyperbolic Groups

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Explore limit theorems for Gromov-hyperbolic group representations, examining statistical results analogous to random matrix products theory for spherical averages in the S-metric.
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1 Lesons
39 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The Quasi-Redirecting Boundary in Proper Metric Spaces

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Explore a new boundary concept for proper metric spaces, examining its properties, relation to quasi-isometries, and connections to other boundary types in geometric group theory.
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1 Lesons
44 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

An Invitation to the Lifting Decomposition in CAT(0) Cube Complexes

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Explore the lifting decomposition in CAT(0) cube complexes, its applications, and key properties. Gain insights into geometric and asymptotic group theory.
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13 Lesons
40 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Embeddings into Finitely Presented Simple Groups - Hyperbolic Groups and the Boone-Higman Conjecture

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Explore embeddings of hyperbolic groups into finitely presented simple groups, addressing the Boone-Higman Conjecture and its implications for group theory and word problems.
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17 Lesons
50 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Minimality of the Compact-Open Topology on Diffeomorphism and Homeomorphism Groups

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Explore minimality of compact-open topology on diffeomorphism groups, its implications for homeomorphism groups, and connections to automatic continuity results.
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1 Lesons
44 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Metric-Functional Boundary of Cayley Graphs

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Explore the horofunction boundary of Cayley graphs for small finitely generated groups, focusing on linear growth and the Gap Conjecture. Gain insights into metric spaces and group theory.
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1 Lesons
37 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Ulam Stability of Thompson Groups

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Explore Ulam stability of Thompson groups through asymptotic cohomology. Gain insights into this rigidity property for discrete groups and its application to groups F, T, and V.
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1 Lesons
40 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Finitely Presented Simple Groups of Homeomorphisms of the Reals

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Explore Thompson's groups and finitely generated simple groups of homeomorphisms, with insights into joint research on finitely presented examples.
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1 Lesons
39 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Topological and Conformal Dimensions of Self-Similar Groups

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Explore topological and conformal dimensions of self-similar groups, examining their limit spaces and associated dynamical systems in geometric group theory.
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1 Lesons
50 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A Non-symmetric Kesten Criterion for Random Walks on Groups

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Explore a non-symmetric version of Kesten's criterion for random walks on countable groups, relating to amenability and probability of return to identity.
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1 Lesons
47 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Harmonic Maps and Random Walks on Countable Groups

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Explore harmonic maps and random walks on countable groups, focusing on CAT(0) spaces and group actions with zero escape rate.
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1 Lesons
49 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Diagram Groups and Their Geometry

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Explore diagram groups and their geometry in this mathematical conference talk by Rachel Skipper, delving into discrete mathematics and computer science concepts.
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1 Lesons
1 hour 40 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Geometry of Diagram Groups

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Explore the geometry of diagram groups in this advanced mathematical lecture, delving into discrete mathematics and computer science concepts.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Basics on Measure Rigidity

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Explorez les fondements de la rigidité des mesures avec Aaron Brown, abordant les concepts clés et leurs applications en mathématiques avancées.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Branching Random Walks and Martin Boundaries - Properties and Examples

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Explore properties and examples of branching random walks and Martin boundaries in non-Euclidean spaces through an in-depth mathematical analysis.
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1 Lesons
52 minutes
On-Demand
Free-Video
Big Ideas In Dynamics

Bowditch Representations and Dynamics on Character Varieties - Part 1

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Explore Bowditch representations and their dynamic impact on character varieties in geometry, presented by Sara Maloni from UVA.
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1 Lesons
59 minutes
On-Demand
Free-Video
Big Ideas In Dynamics

Random Walks on Weakly Hyperbolic Groups

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Explore random walks on weakly hyperbolic groups, delving into advanced mathematical concepts and their applications in dynamics and group theory.
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1 Lesons
57 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Random Walks on Groups - Part 2

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Explore advanced concepts of random walks on groups, focusing on mathematical dynamics and probabilistic methods in group theory.
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1 Lesons
1 hour 26 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Dynamics Associated to Anosov Representations: Some Geometric Consequences - Lecture 2

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Explore dynamical systems of Anosov representations, including Patterson-Sullivan theory, critical hypersurface, and directional-conicality. Examine dominated sequences and their impact on limit set regularity.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Dynamics Associated to Anosov Representations: Some Geometric Consequences - Lecture 1

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Explore dynamical systems of Anosov representations, including Patterson-Sullivan theory, critical hypersurface, and directional-conicality. Examine dominated sequences and their impact on limit set regularity.
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1 Lesons
1 hour 2 minutes
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Institut des Hautes Etudes Scientifiques (IHES)

Anosov Representations - Lecture 3

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Explore Anosov representations, their characterizations, domains of discontinuity, and connections to convex projective geometry. Discover recent developments and potential research directions.
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1 Lesons
1 hour 5 minutes
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Institut des Hautes Etudes Scientifiques (IHES)

The Bottom of the L^2 Spectrum of Higher-rank Locally Symmetric Spaces

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Explore the $L^2$ spectrum of higher-rank locally symmetric spaces, examining connections between Laplace eigenfunctions and Patterson-Sullivan measures.
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1 Lesons
47 minutes
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Institut des Hautes Etudes Scientifiques (IHES)

Anosov Representations - Lecture 2

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Explore Anosov representations, their characterizations, domains of discontinuity, and connections to convex projective geometry in this advanced mathematical lecture.
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1 Lesons
1 hour 5 minutes
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Institut des Hautes Etudes Scientifiques (IHES)

Divisible Convex Sets with Properly Embedded Cones

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Explore divisible convex sets, their theory, and new examples in projective geometry. Delve into connections with dynamical systems, geometric group theory, and Riemannian geometry.
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9 Lesons
1 hour 5 minutes
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Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Anosov Representations - Lecture 1

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Explore Anosov representations, their characterizations, and applications in convex projective geometry. Gain insights into recent developments and potential research directions.
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1 Lesons
1 hour
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Stony Brook Mathematics

A Finiteness Theorem for Gromov-Hyperbolic Groups

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Explore a finiteness theorem for Gromov-hyperbolic groups, delving into δ-hyperbolic, torsion-free, non-cyclic marked groups with bounded entropy. Gain insights into the proof and key concepts.
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1 Lesons
51 minutes
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Banach Center

L^2 Cohomology of Buildings

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Explore L^2 cohomology of buildings with Tadeusz Januszkiewicz, delving into advanced mathematical concepts and their applications in geometric group theory.
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1 Lesons
1 hour 10 minutes
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Centre de recherches mathématiques - CRM

Orbit Equivalence Theory, Cost, Ergodic Dimension and L2 Betti Numbers - Lecture 3

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Explore orbit equivalence theory, cost, ergodic dimension, and L2 Betti numbers in measured group theory. Gain insights into foundational concepts and invariants through examples and exercises.
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1 Lesons
1 hour 7 minutes
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Centre de recherches mathématiques - CRM

Small Cusped Hyperbolic 3-Manifolds and Order-Preserving Braids

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Explore minimal-volume cusped hyperbolic 3-manifolds and their fundamental groups' orderability. Investigate order-preserving braids and their impact on Artin actions.
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1 Lesons
33 minutes
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Centre de recherches mathématiques - CRM

Detecting 3-Manifold Groups Among Circularly Ordered Groups

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Explore techniques for identifying 3-manifold groups within circularly ordered groups, focusing on mathematical detection methods and group theory applications.
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1 Lesons
54 minutes
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Centre de recherches mathématiques - CRM

Fine Curve Graphs and Fragmentation - Lecture 3

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Explore fine curve graphs and their applications in geometric group theory, focusing on fragmentation norms in surface homeomorphism groups and large-scale geometry.
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1 Lesons
41 minutes
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Centre de recherches mathématiques - CRM

Helly Graphs and Injective Metric Spaces - Part 2

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Explorez les graphes de Helly et les espaces métriques injectifs, leurs propriétés et constructions, en mettant l'accent sur les aspects géométriques et les applications aux groupes mathématiques.
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1 Lesons
54 minutes
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Centre de recherches mathématiques - CRM

Automorphisms of Groups and Higher Rank JSJ Decomposition

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Explore automorphisms of hierarchically hyperbolic groups and a generalized JSJ decomposition, encoding algebraic structure and dynamics of automorphisms in higher rank settings.
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1 Lesons
53 minutes
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