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#Teichmüller Theory

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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
Simons Semester on Dynamics

Dynamical Approximations of Postsingularly Finite Entire Maps

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Explore dynamical approximations of postsingularly finite entire maps, focusing on maps with finitely many singular values and their global dynamics. Discover connections between approximations, combinatorics, and Teichmuller spaces.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Models for Dynamical Systems in Dimensions 1 and 2 - Lecture 1

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Explore dynamical systems in 1D and 2D, focusing on Milnor-Thurston's theorem and its potential 2D analog for surface diffeomorphisms. Delve into connections with Teichmüller Theory and 3-manifold topology.
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1 Lesons
1 hour 40 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Models for Dynamical Systems in Dimensions 1 and 2 - Lecture 3

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Explore dynamical systems in 1D and 2D, focusing on Milnor-Thurston's theorem and its potential 2D analogue for surface diffeomorphisms. Delve into connections with Teichmüller Theory and 3-manifold topology.
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1 Lesons
57 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Models for Dynamical Systems in Dimensions 1 and 2 - Lecture 2

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Explore models for dynamical systems in 1D and 2D, focusing on Milnor-Thurston's theorem and its potential 2D analogue for surface diffeomorphisms.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Les mondes mathématiques de Maryam Mirzakhani - Espaces de formes

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Explorez les contributions révolutionnaires de Maryam Mirzakhani aux espaces de formes et à la géométrie, présentées par Pascal Hubert.
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1 Lesons
35 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Volumes of Odd Strata of Quadratic Differentials

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Explore volumes of odd strata of quadratic differentials in moduli spaces. Delve into combinatorics, dynamics, and geometry with insights from Elise Goujard's mathematical research.
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1 Lesons
55 minutes
On-Demand
Free-Video
ICTP Mathematics

Complex Dynamics and Character Varieties - Lecture 1

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Explore complex dynamics and character varieties in mathematics, delving into advanced concepts and their applications in this comprehensive lecture.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Harmonic Maps Between Surfaces and Teichmüller Theory - Lecture 1

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Explore harmonic maps between surfaces, their applications, and connections to Teichmüller theory in this advanced lecture on geometric analysis and complex geometry.
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24 Lesons
1 hour 18 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
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
IMSA

Best Lipschitz Maps and Transverse Measures - Lecture 1

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Exploration of best Lipschitz maps between hyperbolic surfaces, infinity harmonic maps, and transverse measures. Discusses approximation methods, geodesic laminations, and connections to Teichmüller theory and geometric topology.
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1 Lesons
56 minutes
On-Demand
Free-Video
IMSA

Best Lipschitz Maps and Transverse Measures - Part 2

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Explores best Lipschitz maps between hyperbolic surfaces, focusing on approximation methods, transverse measures, and their connection to infinitesimal earthquakes in Teichmüller theory.
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1 Lesons
55 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
Fields Institute

Dynamical Systems Arising from the Classification of Geometric Structures

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Explore dynamical systems in geometric structure classification, delving into mathematical concepts and their applications in topology and geometry.
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1 Lesons
56 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Shear Coordinates of Weil-Petersson Circle Homeomorphisms

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Explore shear coordinates of Weil-Petersson circle homeomorphisms in this advanced mathematics lecture by Yilin Wang, delving into geometric and dynamic aspects of the topic.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Geometry of Large Genus Flat Surfaces

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Explorez la géométrie des surfaces plates de grand genre avec Elise Goujard, examinant leurs propriétés et implications mathématiques fascinantes.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Counting Pairs of Saddle Connections on Translation Surfaces

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Explore saddle connection pairs on translation surfaces, delving into mathematical counting techniques and geometric insights.
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1 Lesons
59 minutes
On-Demand
Free-Video
Big Ideas In Dynamics

Bowditch Representations and Dynamics on Character Varieties

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Explore Bowditch Representations and dynamics on character varieties in this graduate-level mathematics pre-talk, delving into advanced concepts in topology and geometry.
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1 Lesons
47 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Translation Surfaces and Dynamics on Moduli Spaces - Part 2

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Explore advanced concepts in translation surfaces and dynamics on moduli spaces, building upon previous knowledge to deepen understanding of mathematical theories and applications.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Translation Surfaces and Dynamics on Moduli Spaces - Part 1

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Explore translation surfaces and dynamics on moduli spaces in this advanced mathematical lecture. Delve into complex geometric concepts and their applications in surface dynamics.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Translation Surfaces and Dynamics on Moduli Spaces - Part 3

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Explore advanced concepts in translation surfaces and dynamics on moduli spaces. Delve into complex mathematical theories presented by Ferrán Valdez in this comprehensive lecture.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Topology of Horocyclic Flow on Geometrically Infinite Surfaces - Part 2

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Explore advanced concepts in horocyclic flow topology on geometrically infinite surfaces, building upon previous knowledge and delving into complex mathematical theories.
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1 Lesons
1 hour 34 minutes
On-Demand
Free-Video
BIMSA

Symplectic Topology, Stability Conditions and Quadratic Differentials

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Explore connections between symplectic topology, stability conditions, and quadratic differentials in Fukaya categories and mapping class groups.
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1 Lesons
1 hour 42 minutes
On-Demand
Free-Video
BIMSA

Symplectic Topology, Stability Conditions and Quadratic Differentials

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Explore connections between symplectic topology, stability conditions, and quadratic differentials in Fukaya categories and mapping class groups.
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1 Lesons
1 hour 42 minutes
On-Demand
Free-Video
BIMSA

Total Positivity: Combinatorics, Geometry and Representation Theory

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Explore total positivity theory in matrices, its applications, and recent developments in combinatorics, geometry, and representation theory.
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1 Lesons
1 hour 4 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

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