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#Mapping Class Group

Showing: 37 courses
Institute for Advanced Study

Closure of Orbits of the Pure Mapping Class Group on the Character Variety

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Explore the pure mapping class group's action on character varieties, examining orbit closures and their implications for various mathematical contexts and applications.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

Cohomology of Moduli Spaces of Curves

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Dive into the cohomology of moduli spaces of curves with Hannah Larson. Explore tautological rings, compactifications, and the mysteries of non-tautological cohomology groups in algebraic geometry.
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1 Lesons
1 hour 3 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
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Heisenberg Homology of Surface Configurations

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Explore Heisenberg group representations on surface configurations, examining homologies, Mapping Class Group actions, and quantum connections in mathematical research.
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1 Lesons
49 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Connectedness and Deformation by Conjugation of Actions on [0,1] or S^1

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Explore connectedness and deformation by conjugation of actions on [0,1] or S^1 in this advanced mathematical lecture by Hélène Eynard-Bontemps.
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1 Lesons
1 hour
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Actions on the Real Line of Some Finitely Generated Groups

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Explore finitely generated groups' actions on the real line, focusing on mathematical concepts and theories presented by Nicolás Matte Bon in this advanced mathematics conference talk.
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1 Lesons
53 minutes
On-Demand
Free-Video
IMSA

On the Nielsen Realization Problem and Cohomology of Mapping Class Groups of Non-orientable Surfaces

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Exploración del problema de realización de Nielsen y cohomología de grupos de clases de mapeo en superficies no orientables, con aplicaciones en topología y teoría de grupos.
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17 Lesons
48 minutes
On-Demand
Free-Video
IMSA

On Mapping Class Groups of Non-Orientable Surfaces

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Exploración de grupos de clases de mapeo en superficies no orientables, abordando el problema de realización de Nielsen y la periodicidad p, con aplicaciones en cohomología de Farrell.
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1 Lesons
55 minutes
On-Demand
Free-Video
Fields Institute

Yang-Baxter Elements and a New Proof of Homological Stability for the Mapping Class Group of Surfaces

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Explores Yang-Baxter elements in monoidal categories, introducing a novel approach to prove homological stability for surface mapping class groups using semi-simplicial sets and bimarked surfaces.
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1 Lesons
50 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

TQFTs from Non-Semisimple Modular Categories and Modified Traces - Lecture I

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Explore advanced topological quantum field theories, focusing on non-semisimple constructions and modified traces for powerful invariants and mapping class group representations.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
IMSA

On Mapping Class Groups of Non-Orientable Surfaces

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Exploración de la estructura y cohomología de grupos de clases de mapeo en superficies no orientables, incluyendo resultados recientes sobre el plano proyectivo y la botella de Klein.
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1 Lesons
54 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Mapping Classes and Moduli Spaces of K3 Manifolds

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Explores mapping classes of K3 manifolds using moduli spaces, focusing on unipotent actions on cohomology and K3 surfaces fibered into genus one curves.
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1 Lesons
59 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
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Schmutz-Thurston Duality in Mapping Class Group-Equivariant Cell Decompositions

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Explore mapping class group-equivariant cell decompositions of Teichmueller space, focusing on Schmutz and Thurston's work for closed compact surfaces without marked points.
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1 Lesons
51 minutes
On-Demand
Free-Video
NCCR SwissMAP

Top Weight Cohomology of M_{g,n} and the Handlebody Group

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Explore top weight cohomology of M_{g,n} and its connection to the handlebody group in algebraic topology and Grothendieck-Teichmüller theory.
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1 Lesons
51 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Symplectic Mapping Class Groups: Structural Properties from Smooth to C⁰

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Explore structural properties of symplectic mapping class groups, from smooth to C⁰, with an overview of key concepts and open questions in this mathematical field.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Big Ideas In Dynamics

Bowditch Representations and Dynamics on Character Varieties - Part 2

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Explore advanced concepts in geometric group theory, focusing on mapping class group actions on character varieties and domains of discontinuity for various surfaces and Lie groups.
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1 Lesons
59 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Ricci Curvature, Fundamental Group and the Milnor Conjecture - Part 2

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Explore advanced concepts in topology and geometry, focusing on counterexamples to the Milnor conjecture and their construction using mapping class groups and asymptotic cones.
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1 Lesons
57 minutes
On-Demand
Free-Video
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
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Finite Quotients of Fibered, Cusped 3-Manifold Groups

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Explore finite quotients of 3-manifold groups, leveraging mapping class group properties to study profinite completions of fibered hyperbolic 3-manifold fundamental groups.
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1 Lesons
42 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Loxodromic Elements in Right-Angled Artin Groups

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Explorez la génération rapide d'éléments loxodromiques dans les groupes d'Artin à angles droits et leur impact sur la croissance exponentielle dans les espaces hyperboliques.
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1 Lesons
39 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Helly Graphs and Injective Metric Spaces - Lecture 4

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Explore Helly graphs and injective metric spaces, focusing on nonpositive features, local properties, and geometric group applications in this advanced mathematical lecture.
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1 Lesons
42 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Helly Graphs and Injective Metric Spaces - Part 3

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Explorez les graphes de Helly et les espaces métriques injectifs, leurs propriétés et constructions, en mettant l'accent sur les caractéristiques non positives et les applications géométriques.
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1 Lesons
53 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

TQFTs from Non-Semisimple Modular Categories and Modified Traces - Marco de Renzi

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Explore non-semisimple TQFTs and modified traces in topology, focusing on construction methods, invariants, and mapping class group representations derived from modular categories.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Galileo Galilei Institute

A Skein Theoretic Approach to CFT Correlators - Part 1 of 3

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Explore complex CFT, vertex algebras, and algebraic structures in this comprehensive lecture on skein theoretic approaches to correlators in conformal field theory.
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19 Lesons
1 hour 53 minutes
On-Demand
Free-Video
Joint Mathematics Meetings

Mixing Surfaces, Algebra, and Geometry

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Explore the interplay of surfaces, algebra, and geometry through Mirzakhani's theorem, taffy pullers, and mapping class groups in this engaging mathematical journey.
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20 Lesons
51 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Orderability and Mapping Class Groups in Surface Topology

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Explore rigidity in circular orderings of mapping class groups, obstruction spectra, and translation numbers in relation to fractional Dehn twist coefficients for compact surfaces.
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1 Lesons
47 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Dehn-Filling-Like Quotients of Mapping Class Groups

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Explore Dehn-filling-like quotients of mapping class groups, examining their algebra and geometry, inspired by Thurston's hyperbolic Dehn filling theorem.
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1 Lesons
45 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Cube Complexes and Finiteness Properties of Block Mapping Class Groups

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Explore cube complexes and their application to block mapping class groups, examining finiteness properties and connections to Thompson's groups in surface topology.
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1 Lesons
57 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Classification of Mapping Classes of Infinite-Type Surfaces

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Explore the classification of mapping classes for infinite-type surfaces in this advanced mathematical lecture by Federica Fanoni at CIRM's thematic meeting.
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1 Lesons
59 minutes
On-Demand
Free-Video
NCCR SwissMAP

Extensions of 1-Cocycles of the Mapping Class Group to the Ptolemy Groupoid

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Explore extensions of 1-cocycles from mapping class groups to Ptolemy groupoids, delving into algebraic topology and Grothendieck-Teichmüller theory.
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1 Lesons
51 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Irreducible Lattices in Semi-Simple Lie Groups of Higher Rank

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Explore irreducible lattices in semi-simple Lie groups of higher rank and their properties in this advanced mathematical lecture by Sebastian Hurtado Salazar.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Mapping Class Groups of Infinite-Type Surfaces and Their Actions on Hyperbolic Graphs

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Explore mapping class groups of infinite-type surfaces and their actions on hyperbolic graphs in this advanced mathematical lecture by Priyam Patel.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video